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You are a newspaper publisher
You are a newspaper publisher. You are in the middle of a one-year rental contract for your factory that requires you to pay $500,000 per month, and you have contractual labor obligations of $1,000,000 per month that you can't get out of. You also have a marginal printing cost of $0.35 per paper as well as a marginal delivery cost of $0.10 per paper.
Instructions: Round your answers to 2 decimal places.
a. If sales fall by 20 percent from 1,000,000 papers per month to 800,000 papers per month, What happens to the AFC per paper?
b. What happens to the MC per paper?
c. What happens to the minimum amount that you must charge to break even on these costs?
Expert Solution
Fixed costs (FC)= rental contract + contractual labor obligation = $500,000 + $1,000,000 = $1,500,000 per month
Variable Cost (VC) = marginal printing cost times number of paper printed + marginal delivery cost times number of papers delivered.
Assuming all papers that are produced are delivered, VC = ( 0.35 + 0.10 )Q = 0.45Q
TC=FC+VC=1,500,000+0.45QTC=FC+VC=1,500,000+0.45Q
a. Average Fixed Cost = Fixed cost / Quantity of output produced
AFC when 1000,000 papers are sold = $1,500,000 / 1,000,000 = $1.5 per paper
AFC when 800,000 papers are sold = $1,500,000 / 800,000 = $1.88 per paper
If sales fall by 20 percent, AFC increases from $1.5 per paper to $1.88 per paper.
b. Marginal cost = 0.45 and is constnt.
marginal cost = marginal printing cost of $0.35 per paper + marginal delivery cost of $0.10 per paper. = $0.45 per paper
c. What happens to the minimum amount that you must charge to break even on these costs?
Break Even point is where the profit is zero. In other words, TC = TR or ATC = P
ATC=1,500,000/Q+0.45ATC=1,500,000/Q+0.45
- Break Even Point:
1,500,000/Q+0.45=P1,500,000/Q+0.45=P
- When 1000,000 papers are sold:
ATC = $1.5 + 0.45 = $ 1.95 = P1
- When 800,000 papers are sold:
ATC = $1.88 + 0.45 = $ 2.33 =P2
The minimum amount that must be charged at the break-even point increases by $0.38.
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