ANSWER: |
a. C(x) = fixed cost + variable cost(x)
Year 1:
CA = 690,000 + 29.56(152,000) = $5,183,120
CM = 269,000 + 31.69(152,000) = $5,085,880 (least-cost alternative)
Year 2:
CA = 690,000 + 29.56(190,000) = $6,306,400
CM = 269,000 + 31.69(190,000) = $6,290,100 (least-cost alternative)
Year 3:
CA = 690,000 + 29.56(225,000) = $7,341,000 (least-cost alternative)
CM = 269,000 + 31.69(225,000) = $7,399,250
b. CA = CM
FCA + vA(190,000) = FCM + vM(190,000)
690,000 + v(190,000) = 269,000 + 31.69(190,000)
vA = (269,000 + 6,021,100 - 690,000)/190,000
vA = $29.47 (roughly a 0.3% reduction)
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