Question 403312: A plant can manufacture 75 golf clubs per day for a total daily cost of $8,027 amd 100 golf clubs per day for a total daily cost of $ 9,567. (a) assuming that daily cost and production are linearly related, write an equation for the total daily cost in terms of production. (b) how many clubs can they manufacture daily with the cost $9000.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A plant can manufacture 75 golf clubs per day for a total daily cost of $8,027 amd 100 golf clubs per day for a total daily cost of $ 9,567.
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You have two points: (75,8027) and (100,9567)
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(a) assuming that daily cost and production are linearly related, write an equation for the total daily cost in terms of production.
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slope = (9567-8027)/(100-75) = 61.6
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Form: c(x) = mx + b
9567 = 61.6*100 + b
b = 3407
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Equation:
c(x) = 61.6x + 3407
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(b) how many clubs can they manufacture daily with the cost $9000.
Solve 61.6x + 3407 = 9000
61.6x = 5593
x = 90.8 clubs daily
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Cheers,
Stan H.
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