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Question 196789: Suppose that the unit of manufacturing an electrical board varies proportionally with the number of components on it and inversely with the number produced. When 100 boards were produced with 10 componenets, they cost 1.00 each. Suppose we increase the component count to 15 and the number of boards to be produced to 200, what will be the unit cost?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that the unit of manufacturing an electrical board varies proportionally with the number of components on it and inversely with the number produced.
cost per unit = k[# components/# produced]
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Solve for "k":
When 100 boards were produced with 10 componenets, they cost 1.00 each.
1.00 = k[10/100]
1 = k(1/10)
k = 10
Equation for this problem:
cost = 10[# of components/# of units produced]
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Suppose we increase the component count to 15 and the number of boards to be produced to 200, what will be the unit cost?
unit cost = 10[15/200]
unit cost = 3/4
unit cost = 75 cents
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Cheers,
Stan H.
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