In: Accounting
Problem 3-19B Effect of converting variable to fixed costs
Stackhouse Company manufactures and sells its own brand of digital cameras. It sells each camera for $250. The company’s accountant prepared the following data:
Manufacturing costs |
|
Variable |
$90 per unit |
Fixed |
$300,000 per year |
Selling and administrative expenses |
|
Variable |
$10 per unit |
Fixed |
$60,000 per year |
Required
Use the per-unit contribution margin approach to determine the break-even point in units and dollars.
Use the per-unit contribution margin approach to determine the level of sales in units and dollars required to obtain a $120,000 profit.
Suppose that variable selling and administrative costs could be eliminated by employing a salaried sales force. If the company could sell 4,200 units, how much could it pay in salaries for the salespeople and still have a profit of $120,000? (Hint: Use the equation method.)
Ans.(a) | Determination of The Break Even point in units and in Dollars using contribution margin. | ||||
Particulars | Amt.($) | ||||
Sale Price | 250 | ||||
Less: Variable Costs | |||||
Variable Expenses | 90 | ||||
Selling and Administrative Expenses | 10 | ||||
Contibution Margin | 150 | ||||
Contribution Margin % = | Contribution Margin/Sale price | ||||
= | $150/$250 | ||||
= | 60% | ||||
i) | Break Even Point (in Units) = | Fixed Expenses/Contibution Margin p.u. | |||
= | ($300,000 + $60,000)/$150 | ||||
= | 2400 | ||||
ii) | Break Even Point (in Dollars) = | Fixed Expenses/Contibution Margin % | |||
= | ($300,000 + $60,000)/60% | ||||
= | $ 600,000 | ||||
Ans.(b) | Determination level of sales in units and in Dollars to obtain a $120,000 profit using contribution margin approach. | ||||
Profit = | Contribution - Fixed Expenses | ||||
$120,000 = | Contribution - ($300,000 + $60,000) | ||||
$120,000+$360,000 = | Contribution | ||||
Contribution = | $480,000 | ||||
i) | Sales (in units) = | Total Contribution/Contribution p.u. | |||
= | $480,000 / $150 | ||||
= | 3200 | ||||
ii) | Sales (in Dollars) = | Sales (in units) x Sale Price | |||
= | 3200 x $250 | ||||
= | $ 800,000 | ||||
Ans.(c) | Variable selling and administrative costs will be eliminated by emplyoing a salaried sales force than, | ||||
Profit = | {(Sales x Sales price) - Variable cost} - Fixed Expenses | ||||
$120,000 = | {(4,200 x $250) - (4200 x $100)} - Fixed Expenses | ||||
$120,000 = | (1,050,000 - 420,000) - Fixed Expenses | ||||
Fixed Expenses = | $630,000 - $120,000 | ||||
= | $ 510,000 |