A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb
er of machines made. If
x machines are made, then the unit cost is given by the function C(x) -0.4x-112x+17,167. What is the minimum unit cost? I got the answer $140 but apparently it was wrong.
x machines are made, then the unit cost is given by the function C(x) -0.4x-112x+17,167. What is the minimum unit cost? I got the answer $140 but apparently it was wrong.
1 answer:
Answer:
$9327
Step-by-step explanation:
Apparently, the cost function is supposed to be ...
C(x) = 0.4x^2 -112x +17167
This can be rewritten to vertex form as ...
C(x) = 0.4(x^2 -280) +17167
C(x) = 0.4(x -140)^2 +17167 -0.4(19600)
C(x) = 0.4(x -140)^2 +9327
The vertex of the cost function is ...
(x, C(x)) = (140, 9327)
The minimum unit cost is $9327.
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<em>Comment on the question</em>
You found the number of units that result in minimum cost (140 units), but you have to evaluate C(140) to find the minimum unit cost.
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