A company has a linear total cost function and has determined that over the next three months it can produce 12,000 units at a total cost of $224; 000. This same manufacturer can produce 18,000 units at a total cost of $296; 000. The selling price per unit is $13.25. i. Determine the revenue, cost and pro t functions using q for number of units. ii. What is the xed cost ? iii. What is the marginal cost ? iv. Find the break-even quantity. v. What is the break-even dollar volume of sale ? vi. What will pro t be if the company shuts down operation? vii. If, because of a strike, the company will be able to produce only 10,000 units, should it shut down for the next three months ? why or why not ?
Cost-Volume-Profit Analysis
Cost Volume Profit (CVP) analysis is a cost accounting method that analyses the effect of fluctuating cost and volume on the operating profit. Also known as break-even analysis, CVP determines the break-even point for varying volumes of sales and cost structures. This information helps the managers make economic decisions on a short-term basis. CVP analysis is based on many assumptions. Sales price, variable costs, and fixed costs per unit are assumed to be constant. The analysis also assumes that all units produced are sold and costs get impacted due to changes in activities. All costs incurred by the company like administrative, manufacturing, and selling costs are identified as either fixed or variable.
Marginal Costing
Marginal cost is defined as the change in the total cost which takes place when one additional unit of a product is manufactured. The marginal cost is influenced only by the variations which generally occur in the variable costs because the fixed costs remain the same irrespective of the output produced. The concept of marginal cost is used for product pricing when the customers want the lowest possible price for a certain number of orders. There is no accounting entry for marginal cost and it is only used by the management for taking effective decisions.
A company has a linear total cost function and has determined that over the next three months it can produce
12,000 units at a total cost of $224; 000. This same manufacturer can produce 18,000 units at a total cost of
$296; 000. The selling price per unit is $13.25.
i. Determine the revenue, cost and pro t functions using q for number of units.
ii. What is the xed cost ?
iii. What is the marginal cost ?
iv. Find the break-even quantity.
v. What is the break-even dollar volume of sale ?
vi. What will pro t be if the company shuts down operation?
vii. If, because of a strike, the company will be able to produce only 10,000 units, should it shut down for the next
three months ? why or why not ?
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