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Currently, it costs $1.50 / unit to produce a product. A machine can be purchased for...

  1. Currently, it costs $1.50 / unit to produce a product. A machine can be purchased for $15000 to reduce the cost to $0.40 / unit.   Assume the machine has no salvage value.   Also, for this problem, ignore the time value of money.
  1. What is the breakeven production rate?
  1. What is the average cost per unit if 500 units are produced with the machine?
  1. What is the marginal cost with the machine?
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Answer #1

A. The machine can reduce the per unit cost by $1.50 - $0.40 = $1.10. So, the breakeven production amount = $15000/$1.10 =  13,636 units (approx.)

B. Total fixed costs = $15,000.

Total variable costs = $0.40 * 500 = $200

Total costs = total fixed costs + total variable costs = $15,000 + $200 = $15,200.

So, average cost = total cost/units = $15,200/500 = $30.40

C. Marginal cost is the additional cost of producing an extra unit. Here, in order to produce one more unit, only $0.40 is incurred. So, $0.40 is the marginal cost.

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