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Garrett Manufacturing sold 410,000 units of its product for \(\$ 68\) per unit in 2011 Variable cost per unit is \(\$ 60\) and total fixed costs are \(\$ 1,640,000\). 1\. Calculate (a) contribution margin and (b) operating income. 2\. Garrett's current manufacturing process is labor intensive. Kate Schoenen, Garrett's production manager, has proposed investing in state-of-the-art manufacturing equipment, which will increase the annual fixed costs to \(\$ 5,330,000\). The variable costs are expected to decrease to \(\$ 54\) per unit. Garrett expects to maintain the same sales volume and selling price next year. How would acceptance of Schoenen's proposal affect your answers to (a) and (b) in requirement 1?

Short Answer

Expert verified
(a) Contribution margin is $8, and (b) Operating income is $1,640,000. With the proposal, (a) Contribution margin increases to $14, and (b) Operating income decreases to $410,000.

Step by step solution

01

Calculate Contribution Margin per Unit

The contribution margin per unit is the selling price per unit minus the variable cost per unit. Calculate it as follows: \[\text{Contribution Margin per Unit} = \text{Selling Price} - \text{Variable Cost} = 68 - 60 = \$ 8\]
02

Calculate Total Contribution Margin

Total contribution margin is calculated by multiplying the contribution margin per unit by the total number of units sold. \[\text{Total Contribution Margin} = \text{Contribution Margin per Unit} \times \text{Units Sold} = 8 \times 410,000 = \$ 3,280,000\]
03

Calculate Operating Income

Operating income is determined by subtracting total fixed costs from the total contribution margin. \[\text{Operating Income} = \text{Total Contribution Margin} - \text{Total Fixed Costs} = 3,280,000 - 1,640,000 = \$ 1,640,000\]
04

New Contribution Margin per Unit with Proposed Changes

With the proposed changes, calculate the new contribution margin per unit using the new variable costs.\[\text{New Contribution Margin per Unit} = \text{Selling Price} - \text{New Variable Cost} = 68 - 54 = \$ 14\]
05

Calculate New Total Contribution Margin with Proposed Changes

Multiply the new contribution margin per unit by the same number of units sold to find the new total contribution margin. \[\text{New Total Contribution Margin} = \text{New Contribution Margin per Unit} \times \text{Units Sold} = 14 \times 410,000 = \$ 5,740,000\]
06

Calculate New Operating Income with Proposed Changes

Subtract the new total fixed costs from the new total contribution margin to find the new operating income. \[\text{New Operating Income} = \text{New Total Contribution Margin} - \text{New Total Fixed Costs} = 5,740,000 - 5,330,000 = \$ 410,000\]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Contribution Margin
In cost accounting, the **contribution margin** is a crucial concept. It is the amount each unit sold contributes towards covering the fixed costs and generating profit beyond them. To calculate the contribution margin per unit, you simply subtract the variable cost per unit from the selling price per unit: \[ \text{Contribution Margin per Unit} = \text{Selling Price} - \text{Variable Cost} \] This determination helps in evaluating the profitability of the units sold and the overall profitability of the company. In the provided exercise, the contribution margin gives insight into how much profit is generated before fixed costs are accounted for. It illustrates the impact of variable costs and changes in production or pricing strategies.
Operating Income
**Operating income** is a critical measure of a company's profitability. It reflects the profit a company makes from its regular business operations, excluding any other sources of income. To find the operating income: \[\text{Operating Income} = \text{Total Contribution Margin} - \text{Total Fixed Costs} \] This calculation provides a clear view of how the company's core business is performing independent of non-operational factors. Using the figures from the exercise, Garrett Manufacturing's operating income is shown to change significantly with new production strategies, highlighting the sensitivity of this measure to cost structure revisions.
Variable Costs
**Variable costs** are costs that differ directly with the level of production or sales volume. In other words, they fluctuate based on the number of units a company produces or sells. These include costs like raw materials and direct labor. In the exercise, the variable cost per unit was initially \(60\) and projected to decrease to \(54\) with a new investment. This alteration demonstrates a strategy to cut costs through technological investments, allowing a greater contribution margin per unit and enhancing profitability. Tracking variable costs enables businesses to understand cost efficiency better and how these align with pricing strategies.
Fixed Costs
**Fixed costs** are costs that remain constant, regardless of how many units are produced or sold. These costs include expenses such as rent, salaries, and other overheads that do not vary with production level. In the exercise, Garrett Manufacturing's fixed costs were planned to increase with new technology investments. Although fixed costs rise to \(5,330,000\), they aim to reduce the variable costs per unit. This change reflects a trade-off between higher operational stability (less variation in costs with sales) and the risk of higher upfront expenses. Proper management of fixed costs is key to ensuring that increases in volume directly lead to higher profits without eroding them through increased expenses.

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Most popular questions from this chapter

Pure Water Products produces two types of water fill ters. One attaches to the faucet and cleans all water that passes through the faucet. The other is a pitcher-cum-filiter that only purifies water meant for drinking. The unit that attaches to the faucet is sold for \(\$ 80\) and has variable costs of \(\$ 20\) The pitcher-cum-fititer sells for S90 and has variable costs of \(\$ 25\) Pure Water sells two faucet models for every three pitchers sold. Fixed costs equal S945,000 1\. What is the breakeven point in unit sales and dollars for each type o ffilter at the current sales mix? 2\. Pure Water is considering buying new production equipment. The new equipment will increase fixed cost by \(\$ 181,400\) per year and will decrease the variable cost of the faucet and the pitcher units by \(\$ 5\) and S9 respectively. Assuming the same sales mix, how many of each trype of filter does Pure Water need to sell to break even? 3\. Assuming the same sales mix, at what total sales level would Pure Water be indifferent between using the old equipment and buying the new production equipment? If total sales are expected to be 30,000 units, should Pure Water buy the new production equipment?

Hoot Washington is the newly elected leader of the Republican Party. Media Publishers is negotiating to publish Hoot's Manifesto, a new book that promises to be an instant best-seller. The fixed costs of producing and marketing the book will be \(\$ 500,000\). The variable costs of producing and marketing will be \(\$ 4.00\) per copy sold. These costs are before any payments to Hoot. Hoot negotiates an up-front payment of \(\$ 3\) million, plus a \(15 \%\) royalty rate on the net sales price of each book. The net sales price is the listed bookstore price of \(\$ 30,\) minus the margin paid to the bookstore to sell the book. The normal bookstore margin of \(30 \%\) of the listed bookstore price is expected to apply. 1\. Prepare a PV graph for Media Publishers. 2\. How many copies must Media Publishers sell to (a) break even and (b) earn a target operating income of \(\$ 2\) million? 3\. Examine the sensitivity of the breakeven point to the following changes: a. Decreasing the normal bookstore margin to \(20 \%\) of the listed bookstore price of \(\$ 30\) b. Increasing the listed bookstore price to \(\$ 40\) while keeping the bookstore margin at \(30 \%\) c. Comment on the results.

Describe the assumptions underlying CVP analysis.

Sunny Spot Travel Agency specializes in flights between Toronto and Jamaica. It books passengers on Canadian Air. Sunny Spot's fixed costs are \(\$ 23,500\) per month. Canadian Air charges passengers \(\$ 1,500\) per round-trip ticket Calculate the number of tickets Sunny Spot must sell each month to (a) break even and (b) make a target operating income of \(\$ 17,000\) per month in each of the following independent cases. 1\. Sunny Spot's variable costs are \(\$ 43\) per ticket Canadian Air pays Sunny Spot \(6 \%\) commission on ticket price. 2\. Sunny Spot's variable costs are \(\$ 40\) per ticket Canadian Air pays Sunny Spot \(6 \%\) commission on ticket price. 3\. Sunny Spot's variable costs are \(\$ 40\) per ticket. Canadian Air pays \(\$ 60\) fixed commission per ticket to Sunny Spot. Comment on the results. 4\. Sunny Spot's variable costs are \(\$ 40\) per ticket. It receives \(\$ 60\) commission per ticket from Canadian Air. It charges its customers a delivery fee of \(\$ 5\) per ticket. Comment on the results.

Fill in the blanks for each of the following independent cases. $$\begin{array}{lccccc} & & \text { Variable } & & & \text { Operating } & \text { Contribution } \\ \text { Case } & \text { Revenues } & \text { costs } & \text { Fixed costs } & \text { Total costs } & \text { Income } & \text { Margin Percentage } \\\\\hline \text { a. } & & \$ 500 & & \$ 800 & \$ 1,200 & \\\\\text { b. } & \$ 2,000 & & \$ 300 & & \$ 200 & \\\\\text { c. } & \$ 1,000 & \$ 700 & & \$ 1,000 & \\\\\text { d. } & \$ 1,500 & & \$ 300 & & & 40 \%\end{array}$$

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