In manufacturing a medical equipment, a firm incurs costs of two types. Fixed annual costs of $ 155,000 are incurred regardless of the number of units produced. In addition, each unit produced costs the firm $5. If C equals total annual cost in dollars and x equals the number of units produced during a year;
a) Develop the function C = f(x) which expresses annual cost.
b) Calculate f(280,000)? What does f(280,000) represent?
c) State the restricted domain and restricted range of the function if maximum production capacity is 850,000 units per year
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Step-by-step explanation:
To calculate the break-even point in units use the formula: Break-Even point (units) = Fixed Costs ÷ (Sales price per unit – Variable costs per unit) or in sales dollars using the formula: Break-Even point (sales dollars) = Fixed Costs ÷ Contribution Margin.
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