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Sagot :
Answer: See explanation
Explanation:
a. First and foremost, we have to get the total cost equations which will be:
Total cost (A) = 1200000 + 3Q
Total Cost (B) = 220000 + 13Q
Total Cost (C) = 580000 + 7Q
To get the range of forecasted volumes where process C is optimal, we have to get the cross-over point between A, B and C which goes thus:
Between A and C will be:
= (1200000 - 580000)/(7 - 3)
= 620000/4
= 155,000
Between B and C will be:
= (220000 - 580000)/(7 - 13)
= 360,000 / 6
= 60,000
Therefore, the range of the forecasted volumes where process C is optimal will be [60000, 155000]
(b) The point of indifference between A and B will be the difference in their fixed cost divided by the difference in their variable cost which will be:
= (1200000 - 220000)/(13 - 3)
= 980,000 / 10
= 98,000
(c) The price for each unit will be:
30,000 = 1200,000 / (Selling price - 3)
Selling price - 3 = 1200,000 / 30,000
Selling price - 3 = 40
Selling price = 40 + 3
Selling price = $43
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