A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb

Question

2 years ago

9

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.

Mathematics

1 answer:

ArbitrLikvidat [17] · Answer 1 · 2022-09-28T21:57:53+03:00

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.