Baird, Inc. sells fireworks. The company’s marketing director developed the following cost of goods sold budget for April, May, June, and July.
April May June July
Budgeted cost of goods sold $69,000 $79,000 $89,000 $95,000
Baird had a beginning inventory balance of $4,400 on April 1 and a beginning balance in accounts payable of $15,200. The company desires to maintain an ending inventory balance equal to 20 percent of the next period’s cost of goods sold. Baird makes all purchases on account. The company pays 70 percent of accounts payable in the month of purchase and the remaining 30 percent in the month following purchase.
Required
Prepare an inventory purchases budget for April, May, and June.
Determine the amount of ending inventory Baird will report on the end-of-quarter pro forma balance sheet.
Prepare a schedule of cash payments for inventory for April, May, and June.
Determine the balance in accounts payable Baird will report on the end-of-quarter pro forma balance sheet.
Prepare an inventory purchases budget for April, May, and June.
Inventory Purchases Budget April May June
Budgeted cost of goods sold $69,000 $79,000 $89,000
Plus: Desired ending inventory Inventory needed 69,000 79,000 89,000
Required purchases (on account) $69,000 $79,000 $89,000
Determine the amount of ending inventory Baird will report on the end-of-quarter pro forma balance sheet.
Ending inventory Prepare a schedule of cash payments for inventory for April, May, and June. (Round your final answers to the nearest whole dollar.)
Schedule of Cash Payments April May June
Payment of current accounts payable Payment of previous accounts payable Total budgeted payments for inventory $0 $0 $0
Determine the balance in accounts payable Baird will report on the end-of-quarter pro forma balance sheet.
Accounts payable

Answers

Answer 1

Determine the balance in accounts payable Baird will report on the end-of-quarter pro forma balance sheet.

Accounts payable balance as of April 1 = $15,200

Purchases on account in April = $69,000

70% of April purchases paid in April = $48,300

30% of April purchases paid in May = $20,700

Accounts payable balance as of May 31 = $15,200 + $20,700 - $48,300 = -$12,400

(Note: Negative balance means Baird has overpaid its accounts payable and owes less than the beginning balance.)Purchases on account in May = $79,000

70% of May purchases paid in May = $55,300

30% of May purchases paid in June = $23,700

Accounts payable balance as of June 30 = -$12,400 + $23,700 - $55,300 = -$44,000

(Note: Negative balance means Baird has overpaid its accounts payable and owes less than the beginning balance.)

Therefore, Baird will report an accounts payable balance of -$44,000 on the end-of-quarter pro forma balance sheet.

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Related Questions

img world’s products and services are geared toward colleges and students, the students of which may be considered young achievers. this designation can be best described as which influential factor of consumer buying behavior?

Answers

Answer:  

Answer: A. Age and life stages

Explanation:

You buy a watch that costs $45.50. The tax on the watch is 7.5%. What is the final cost?​

Answers

Answer:

$48.9125

Explanation:

7.5% of 45.50 is 3.4125

3.4135+45.50=48.9125

Product differentiation in monopolistically competitive markets ensures that, for profit-maximizing firms, a. price will exceed marginal cost. b. marginal revenue will equal average total cost. c. average total cost will be rising. d. marginal cost will exceed average total cost.

Answers

Product differentiation in monopolistically competitive markets ensures that price will exceed marginal cost.

In monopolistically competitive markets, firms have some control over the price they charge for their products due to product differentiation. By making their product slightly different from their competitors', firms can create a perceived difference in value, allowing them to charge a higher price.

However, the differentiation also means that the firm's marginal cost may be lower than the price they charge. This is because the firm is not producing the same product as its competitors, so its costs may differ. Therefore, in order to maximize profits, the firm will produce at a point where price exceeds marginal cost.

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What are two ways stock ownership builds wealth?

Answers

Answer:

Display Slide 7. Use the information below and on the graphic to discuss the two potential financial rewards for owning stocks—stock appreciation and dividends. Reference the newspaper graphic to explain stock appreciation. When an investor owns stock and the price of that stock rises, net worth increases.

Explanation:

Answer:

Display Slide 7. Use the information below and on the graphic to discuss the two potential financial rewards for owning stocks—stock appreciation and dividends. Reference the newspaper graphic to explain stock appreciation. When an investor owns stock and the price of that stock rises, net worth increases.Explanation:

What managerial role does T. K. Kurien assume in his approach to attaining his division's goal of improved customer service

Answers

T. K. Kurien, an Indian chartered accountant and business executive can be said to assume the managerial role of: a change leader.

Who is a Change Leader?

A change leader can be described as someone who takes on the responsibility of leading and guiding a group of people to plan and implement changes.

They encourage and work with employees during the decision-making process.

Thus, T. K. Kurien, an Indian chartered accountant and business executive who understands the key importance of employee's contribution to an organization, can be said to assume the managerial role of: a change leader.

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Suppose you have just celebrated your 19th birthday. A rich uncle has set up a trust fund for you that will pay you $150,000 when you turn 30. If the relevant discount rate is 9 percent, how much is this fund worth today?

Answers

The present value of $150,000 If the relevant discount rate is 9 percent is  $58,130.

What is  a present value?

The worth that an investment currently owns or has is referred to as its "present value." By deducting any amount of money that will be received in the future, it is discovered.

The temporal value of money (TVM) principle is used to compute the present value of the any cash flow, including lump sums, annuities, and multiple cash flows.

Future value = $150,000

N=  11 years

discount rate = 9 percent.

1/1.09^{11} = 1/2.5804 = .38751/1.09

11

=1/2.5804=.3875

The present value is thus about $58,130.

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When revenue is greater than expenses, you have a:
a) Net Income
b) Contributed Capital
c) Net Loss
d) Historical Valuation

Answers

When revenue is greater than expenses, it means that the company has earned more money than it has spent. This results in a net income. So, The correct option is A.

Net income, also known as profit or net profit, refers to the amount of money that a company has earned after subtracting all of its expenses from its revenue. In other words, it is the amount of money left over when all the costs of running a business have been paid.

Net income is an important financial metric for companies, as it indicates the success of their operations. It is used to determine whether a company is generating positive cash flow and to measure the financial performance over a certain period of time.

The net income can also be used to pay dividends to shareholders or reinvested back into the business for growth and expansion.

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Gaby is motivated to work hard in a capitalistic society, because: ________

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Gaby is motivated to work hard in a capitalistic society, because  she wants to do well for herself.

What is the name of a capitalist society?

Since the end of feudalism, capitalism, also known as the market economy or the free enterprise economy, has dominated in the Western countries. Under capitalism, the majority of the mode of production are privately owned, and production is controlled and income is distributed primarily through the the functioning of markets.

The benefits of capitalism

Contrary to socialism, marxism, or authoritarianism, capitalism encourages individual initiative and a solid work ethic. By working hard or come up with an original concept, everyone can elevate their position in life. In many nations around the world today, that is still not the case and has hardly shown to be the case through human history.

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which one of these is an example of a necessary debt

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Answer:

An example of unnecessary debt is when you change your clothes and don't really need on a high-interest score. Thus option C is correct.

What is unnecessary debt?

An unnecessary debt can be caused by a variety of issues such as expensive life events, having children, or moving to a new house. It may also be due to poor money management. The debt is due to those things that are not needed and hence are unnecessary.

Explanation:

How might analytics be used in the following situations? A. Making and marketing a new products B. Deciding where to locate the new product C. Determining a personal investment plan

Answers

A. Analytics can be used in making and marketing a new product by analyzing market trends, consumer preferences, and competitor data. By utilizing data analytics, businesses can identify customer needs, evaluate product demand, and develop targeted marketing strategies. Analytics can provide insights into customer behavior, pricing strategies, and optimal product features, enabling companies to make data-driven decisions and enhance the chances of success for their new product.

B. Analytics can help in deciding where to locate a new product by analyzing demographic data, market potential, and geographical factors. By utilizing location analytics, businesses can assess factors such as population density, purchasing power, competition, and infrastructure. This analysis can provide insights into the potential customer base, market saturation, and logistical considerations. By leveraging analytics, companies can make informed decisions on the most suitable locations for their new product, maximizing market reach and profitability.

C. Analytics can assist in determining a personal investment plan by analyzing financial data, market trends, and risk factors. By using investment analytics, individuals can assess historical performance, evaluate asset classes, and identify potential investment opportunities. Analytics can help analyze risk and return profiles, assess portfolio diversification, and simulate different investment scenarios. By leveraging analytics tools and models, individuals can make more informed investment decisions, optimize their portfolio allocation, and manage risk effectively.

In summary, analytics can be applied in various ways across different situations. It enables businesses to make informed decisions in product development and marketing, assists in choosing optimal locations, and aids individuals in creating personalized investment plans based on data-driven insights.

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If someone gets their health insurance through Medicaid, that means what

Answers

Answer:

that means they are poor (or have low income since medicare is for families who cant afford doctors)

hope this helps!

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Which unemployment rate do most economists consider to be acceptable in the United States?
a) 0 percent
b) 5 percent
c) 10 percent
d) 20 percent.

Answers

The unemployment rate that economists consider to be acceptable in the united states is 5 percent (b).

Most economists believe that the unemployment rate of the U.S. should be b. 5% or below.

What is Unemployment ?Percentage of the labor force that is not working. Includes only those who are actively looking for work.

For an economy as developed as the U.S., economists believe that there should be enough jobs such that the unemployment rate doesn't pass 5% at any given time save for severe economic shocks.

In conclusion, option B is correct.

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which strategy is most likely to help if a person is trying to lose weight?

Answers

When trying to lose weight, a combination of strategies is usually recommended to achieve sustainable and long-term success. While individual approaches may vary based on personal preferences and specific needs, the following strategy is often effective:Calorie deficit: Creating a calorie deficit by consuming fewer calories than the body needs is crucial for weight loss. This can be achieved through a combination of dietary changes and increased physical activity.

Balanced and nutritious diet: Focus on consuming a well-balanced diet that includes a variety of nutrient-dense foods. Emphasize fruits, vegetables, lean proteins, whole grains, and healthy fats while limiting processed foods, sugary snacks, and beverages.Portion control: Be mindful of portion sizes to avoid overeating. Use smaller plates, measure serving sizes, and pay attention to hunger and fullness cues.Regular physical activity: Engage in regular exercise to boost calorie expenditure and support weight loss. Incorporate a mix of cardiovascular activities (such as brisk walking, cycling, or swimming) and strength training exercises to promote fat loss and preserve muscle mass.

Accountability and support: Seek support from friends, family, or a support group to stay motivated and accountable. Consider working with a registered dietitian or a weight loss counselor for personalized guidance and support.

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Which of the following is a characteristic of an oligopoly market structure?
a. Many firms
b. Price equals marginal revenue
c. Strategic interdependence
d. A unique product

Answers

Strategic Interdependence is a characteristic of an oligopoly market structure.

In an oligopolistic market, where there are few firms and the items are highly correlated, each firm depends on the others to maximize profit. In order to corner the market, they jointly decide on price and output. A market structure known as an oligopoly has a small number of enterprises, none of which can prevent the others from having a large impact. The market share of the major companies is calculated using the concentration ratio.

A market with a monopoly has just one producer, a duopoly has two businesses, and an oligopoly has three or more businesses. The maximum number of firms in an oligopoly is unknown, but it must be low enough such that each firm's activities have a major impact on the others. Oligopolies can be created, maintained, or dismantled as a result of economic, legal, and technological considerations. The prisoner's dilemma that each member faces, which motivates each member to cheat, is the main challenge that oligopolies face.

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A focus on __________ occurs when management focus is on meeting human needs for greater motivation and engagement to increase effectiveness.

Answers

Answer:

Humanity of production.

Explanation:

A focus on humanity of production occurs when management focus is on meeting human needs for greater motivation and engagement to increase effectiveness.

Generally, an intangible asset such as employee skills and experience, which is normally not being listed on an organization's balance sheet refers to human capital. When humanity of production is effectively used by focusing or investing on its employees, it enhances the level of profitability and output or production.

What are benefits of social media?

Answers

Here are the several benefits of social media in business:

It is an inexpensive channel for promotion.Can do more specific targeted promotions.Can find out the trends in the market much faster.

What Are The Benefits Of Social Media In Marketing?

Marketing is an activity of informing about the goods or services offered by the company to consumers. One way that can be used today is social media marketing where companies use social media as a channel to introduce their products to consumers. This social media marketing can be done both for free and for free, so it is one of the relatively inexpensive promotional efforts. Apart from that, one of the advantages of social media marketing is the existence of targeted promotions where companies can know that the advertisements they have made will be received by the appropriate target market.

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f the government uses fiscal policy to reduce the budget deficit during a recession, the government will make the recession worse, ceteris paribus. question 6 options: true false

Answers

During a recession, if the government undertakes fiscal policy to lower the budget deficit, the economy will become worse. This assertion is true.

In order to increase demand and the economy during a recession, the government may lower tax rates or increase spending. On the other side, it can slow the economy in order to fight inflation by raising rates or reducing expenditure.

Expansionary fiscal policy is ideal when an economy is in a recession and generates less than its potential GDP. Fiscal policies that are in a contractionary mode reduce the level of aggregate demand through cuts to public spending or tax hikes.

Taxes and government expenditures are the primary tools of fiscal policy. if the economy is in a recession.

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An offering of fractional interests in oil and gas programs would be registered in a state by: A Filing B Coordination C Qualification D Any of the above

Answers

Any offering of fractional interests in oil and gas programs are required to be registered in a state by qualification.

Why are people's qualification required?

This is because there are many frauds selling these securities to investors, hence, the state law is written to make sure that these offerings get the most stringent review before they can be sold in a State.

Hence, because of this, any offering of fractional interests in oil and gas programs are required to be registered in a state by qualification.

Therefore, the Option C is correct.

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All of the following are principles of scrum development except _______.
O working closely with the customers
O testing the project once during development
O welcoming a change in requirements
O designing as you go
O frequently delivering a working version of the product

Answers

All of the aforementioned are principles of scrum development except: B. testing the project once during development.

What are the software development models?

In Computer technology, some examples of the models and methodologies that are typically used in the software development life cycle (SDLC) include the following;

Spiral modelBig bang model.V-shaped model.Waterfall modelIncremental modelAgile model.

What is Agile software development?

In Agile software development, the software development team are generally more focused on the production of functional and active software programs with less effort on documentation, while ensuring that adjustments can be made when necessary.

Additionally, scrum development is an Agile software development methodology that is typically used for developing software based on an iterative, continuous testing, and incremental processes, which makes it adaptable and fast.

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If anyone can please help asap

If anyone can please help asap

Answers

Answer:

1. Negative externality: Jeff declined to buy his favorite chocolate bar because the price has increased.

2. Dollar vote: increased neighborhood crime is caused by a pawn shop.

3. Public goods: a freeway is available for all to use.

4. Positive externality: public education in the United States results in benefits for others around the world.

Explanation:

1. Negative externality: Jeff declined to buy his favorite chocolate bar because the price has increased. A negative externality arises when the production or consumption of a finished product or service has negative impact (cost) on a third party.

2. Dollar vote: increased neighborhood crime is caused by a pawn shop. A dollar vote describes how the consumer's purchasing power influences the type (quantity) of goods to be produced and supplied to the market.

3. Public goods: a freeway is available for all to use. It refers to any goods that is accessible and available to the general public at all times without an additional fee, charges or cost.

4. Positive externality: public education in the United States results in benefits for others around the world. A positive externality arises when the production or consumption of a finished product or service has a significant impact or benefits to a third party that isn't directly involved in the transaction.

The group discussion assesses the candidate's ability to: Select one: a. Argue b. Control others Oc. Lead others O d. Exchange opinions

Answers

The group discussion assesses the candidate's ability to exchange opinions. During a group discussion, the participants are expected to share their ideas and viewpoints with each other.

They are given a topic or a problem to discuss, and they have to provide their opinions on it. Group discussions are usually conducted to assess the candidate's communication skills, knowledge of the subject, critical thinking, and ability to work in a team.

The main objective of group discussions is to gauge how well the candidate can communicate with others. In a group discussion, the participants are given an opportunity to express their views and opinions on a particular topic. They have to listen to other people's opinions and respond to them in a constructive way.

The participants have to be able to present their opinions clearly and effectively. They should be able to articulate their thoughts and ideas in a concise and logical manner. It is important for the participants to speak confidently and with conviction. They should be able to defend their opinions and provide reasons to support them.

Group discussions are an effective way to assess a candidate's ability to exchange opinions. They provide a platform for the participants to share their ideas and viewpoints with each other. They also help to develop communication skills, critical thinking, and teamwork abilities.

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What is the equivalent annual cost in years 1 through 8 of a contract that has a first cost of $75,000 in year 0 and annual costs of $19,000 in years 3 through 8? Use an interest rate of 9% per year. The equivalent annual cost is determined to be $ ___ .

Answers

The equivalent annual cost in years 1 through 8 of the contract is $10,749.17.

To calculate the equivalent annual cost, we need to consider the time value of money and find the annual payment that would have the same present value as the costs over the given period.

Given:

First cost (Year 0): $75,000

Annual costs (Years 3-8): $19,000

We are interested in finding the equivalent annual cost for years 1 through 8. Since the annual costs start from year 3, we need to bring the first cost to the present value at year 0.

Using the present value formula, we can calculate the present value (PV) of the first cost:

PV = Future Value / (1 + r)^n

PV = $75,000 / (1 + 0.09)^3

PV ≈ $57,242.42

Now, we have the present value of the first cost and the annual costs for years 3-8. We need to calculate the equivalent annual cost for years 1 through 8.

Using the annuity formula, we can calculate the equivalent annual cost (EAC):

EAC = (PV * r) / (1 - (1 + r)^(-n))

EAC = ($57,242.42 * 0.09) / (1 - (1 + 0.09)^(-8))

EAC ≈ $10,749.17

Therefore, the equivalent annual cost in years 1 through 8 of the contract is approximately $10,749.17.

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reflectjng on the cost of capital, what are some possivlr
applications for a small firm ? what about a large firm ?

Answers

The cost of capital refers to the cost that is incurred by the company in raising the finances. It is the rate of return that investors require in order to invest their money in a particular company.

Some possible applications for a small firm are given below:
Investment in Projects: A small firm can use the cost of capital to decide on the viability of an investment project. The firm can compare the expected rate of return of the investment with the cost of capital to determine if the project is viable or not.
Investment in Assets: A small firm can use the cost of capital to decide on the acquisition of an asset. The firm can compare the expected return on the asset with the cost of capital to determine if the asset is worth acquiring.

Pricing Strategy: A small firm can use the cost of capital to decide on the pricing strategy. The firm can compare the cost of capital with the expected profit margin to determine the price that will enable them to make a profit.
Some possible applications for a large firm are given below:

Capital Budgeting: A large firm can use the cost of capital to determine the viability of investment projects. The firm can compare the expected rate of return of the investment with the cost of capital to determine if the project is viable or not.
Capital Structure: A large firm can use the cost of capital to determine the optimal capital structure. The firm can compare the cost of debt with the cost of equity to determine the mix of debt and equity that will minimize the cost of capital.
Debt Issuance: A large firm can use the cost of capital to determine the cost of issuing debt. The firm can compare the cost of debt with the cost of equity to determine the mix of debt and equity that will minimize the cost of capital.

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Which are the three core roles in a Scrum project and how do they interact with each other and the customer?

Answers

Scrum team or also known as Scrum project has three major roles. There are  product owner roles, ScrumMaster roles, and also  development team roles.

Scrum teams or also known as scrum projects generally can be defined as  an Agile project management methodology that has a function to involving a small team led by a Scrum master. Scrum teams has a main job to remove all obstacles to getting work done. Scrum teams including several peoples that work together and bring a product from an idea to life. There are several types of scrum teams, such as Sprint Planning Meeting, Daily Scrum Meeting, Sprint Retrospective Meeting, Backlog Refinement Meeting, and also Sprint Review Meeting.

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here is a riddle

A man who was outside in the rain without an umbrella or hat didn’t get a single hair on his head wet. Why?

Answers

Answer:

he doesn't have hair

Explanation:

he won't get his hair wet if he doesn't have any

What activities are FBLA-PBL members most likely to participate in?

Answers

Answer:

FBLA-PBL members most likely to participate in business competitions and leadership conferences.

Answer:

leadership conferences

business competitions

Explanation:

the balance sheets of davidson corporation reported net fixed assets $620,000 at the end of year 1 and $340,000 at the end of year 2. net sales for year 2 totaled $1,440,000. what is the fixed-asset turnover ratio for year 2?

Answers

The fixed asset turnover ratio is 3.0

Net fixed assets for year 1 = $620,000

Net fixed assets for year 2 = $340,000

Net sales for year 2 = $1,440,000

Analysts typically utilize the fixed asset turnover ratio (FAT) to gauge operating performance. This efficiency ratio assesses a company's capacity to generate net sales from its fixed-asset investments, specifically property, plant, and equipment (PP&E). It compares net sales (income statement) to fixed assets (balance sheet) (PP&E).

Fixed Asset turnover ratio is given by:

= Net sales for years 2/{(Net fixed assets for year 1 + net fixed assets for year 2)}/2

= 1440000/{(620000+340000)}/2

= 3.0

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what are the main duties and responsibilities of a Hotel manager​

Answers

Answer:

Here are some:

recruiting, training and supervising staff.

managing budgets.

maintaining statistical and financial records.

planning maintenance work, events and room bookings.

handling customer complaints and queries.

promoting and marketing the business.

Hope it helps you pls mark me brain list.

Answer:

The main duties and responsibilities of the hotel manager are as below:

Explanation:

1) Recruiting, training, and supervising staff.

2) Managing budgets.

3) Maintaining statistical and financial records.

4) Planning maintenance work, events, and room bookings.

5)Handling customer complaints and queries.

6) Promoting and marketing the business.

What are 3 reasons why people work

Answers

Answer:

to earn money to feed their families, to pay their bills, to go places,

Explanation:

- make money
- take care of themselves (like a house, food, water etc.)
- special occasions (vacations, road trips etc)

my answers are related to "make money" but because you are working, you make money to do those fun things. if that makes sense lol

Using budget data, what was the total expected cost per unit if all manufacturing and shipping overhead (both variable and fixed) were allocated to planned (using 200,000 units) production? what was the actual (using 180,000 units) cost per unit of production and shipping? prepare a flexible budget for 180,000 iphone 4s, and calculate flexible budget variances using actual costs for august. For the month of august, calculate the following variances (assuming the standard labor rate is $0. 92 per hour): material price variance for flash memories material usage variance for flash memories labor rate variance labor usage (efficiency) variance overhead spending variance what are some strategies or decisions that wentao chen should consider when trying to solve the problems with the apple iphone 4 contract in the next nine months? how would these change the costs and profitability of danshui plant no. 2 and the iphone 4 contract? approach this from both danshui's and apple's point of view

Answers

A. The material price Variance is 388800 (U).

B. The material usage Variance is 540000 (U).

C. The labor rate Variance is 732600 (U).

How to calculate tie value

A) Material Price Variance ( Flash Memory)

Material Price Variance = ( Standard Price - Actual Price) * Actual Quantity

= ( 27 - 29.16) * 180000

= 388800 (U)

B) Material Usage Variance (Flash Memory)

Material Usage Variance = ( Standard Quantity - Actual Quantity) * Standard Price

= ( 200000 -180000) * 27.00

= 540000 (U)

C) Labour Rate Variance

Labour Rate Variance = Actual Quantity * Actual Rate - Actual Quantity * Standard Rate

= 180000 * 18.24 - 180000* 14.17

= 3283200 - 2550600

= 732600 (U)

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Point A is at (-7, -9) and point M is at (-0.5, -3).Point M is the midpoint of point A and point B.What are the coordinates of point B?9876+5+4+3214-987654322 3 4 5 6 7 8 9-2-- 4-5+-6t-7+-8+-9 Baron de Montesquieu's Enlightenment ideals influenced which of the following?A Federalism, checks and balances, Declaration of IndependenceB Separation of powers, U.S. Constitution, checkqand balancesC Natural rights, Thomas Jefferson, unalienable rightsD U.S. Constitution, Declaration of Independence, U.S. Bill of Rights intimate partner violence (ipv) has _______ over the past several decades. business guide publisher bob adams described defining a presentation as ______. Galileo's early telescopes revealed the four large moons of Jupiter, the rings of Saturn, and its large moon Titan.a. Trueb. False Which text would be most likely to use a comparison-and-contrast organizational structure?a text detailing the discovery of penicillina text describing the series of events leading up to WWIIa text describing a particular type of bird and its behaviorsa text about two civil rights activists with opposing viewpoints ***PLEASE HELP***In Steves film workshop at Stuyvesant High School, his instructor Mr.Sawicki compares viewers of a film to a jury: If you make your film predictable, theyll make up their minds about it long before its over. Did you make up your mind about Steves guilt or innocence before the book was over ? Did you ever change your mind...or start to wonder? If so, when? If not, why not? Why was William Sewards purchase of Alaska a questionable decision?Responses In the function f(x) = (x^2 -6x + ___) + 20, what number belongs in the blank to complete the square? Which equation describes the circle having center point (3,7) and radius r = 4in standard form?A. (x-3)+(y-7) = 4B. (x+3) + (y+7) =4c. (x-3)+(y-7) = 16D. (x+3) + (y+7) = 16 An investor has constructed a portfolio where 60% of the moneyare invested in stock 1 and 40% in stock 2. Given the data below,answer the following: a) Calculate the betas of stocks 1 and 2. (10mar What will occur in the superposition of two identical sine waves if they are shifted by (5/2)lambda relative to one another? Why is cathodic protection usually applied to slowly corroding systems (e.g. underground pipe)? Explain. 2. Illustrate how you would protect the interior of a steel acid storage tank by anodic protection. Draw a wiring diagram showing all components and important connections. 3. Sketch a plant equipment which is designed to reduce maintenance costs. Explain the features of your design. 4. A piece of pipe from a plant has failed and you are asked to make a failure analysis. List procedures and sequencing steps you would take before writing a final report. You may make reasonable assumptions. This year, Tanner gave 28 piano performances. That is 50% fewer than last year. How many times did Tanner perform last year? On 30 June 2022 , Ndabeni Traders sold R5 100 worth of inventory on credit to Ndlovu Supermarket, subject to a trade discount of 15%. A cash discount of 15% will be given if the account is settled within 30 days. Which one of the following amounts represents the correct amount received by Ndabezitha Wholesalers on 29 July 2022? a. R3684.75 b. R1 012.50 c. R4 335.00 d. R3 570.00 use a maclaurin series in this table to obtain the maclaurin series for the given function. f(x) = 8 cos x 7 Hudson invested $8,400 in an account paying an interest rate of 5.4% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 13 years? Which number has a greater value than |-2.6|?A. -2.9B. -|7|C. -2.6D. |-6| What is the lateral surface area for the triangular prism using the net shown? ndira, a third-grade teacher, frequently suffers from dizziness, heart palpitations, and fatigue. she is also continually agitated and unable to relax outside the classroom, but she cannot pinpoint a reason for her problems. her behavior is most indicative of