Suppose the firm you're working for is doing break-even analysis. However, they are interested in the price they need to charge to cover their costs given some quantity of production. Specifically, the firm has yearly fixed costs of $1500, marginal costs of $0.50 per unit, and is producing 1000 units per year. What price do they need to charge to break even?
Selling price to be at break even is $ 2.00 per unit
The explanation is as follows:
Number of units produced: 1,000 units per year
Fixed cost: $ 1,500
Variable cost: $ 0.50 per unit
Total variable cost:1,000 units @ 0.50 per unit = $ 500
Total cost: Fixed cost + variable cost = $ 1,500 + $ 500= $ 2,000
Therefore, to be at break-even, the firm sales should be of $ 2,000 (i.e. equal to total cost) after selling 1,000 units
Therefore, Selling price for break-even = Total sales / total units = $ 2,000 / 1,000 units = $ 2.00 per unit
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