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Delicious77 [7]
2 years ago
7

An aircraft factory manufactures airplane engines. The unit cost (the cost in dollars to make each airplane engine) depends on t

he number of engines made. If engines are made, then the unit cost is given by the function . What is the minimum unit cost?
Business
1 answer:
emmainna [20.7K]2 years ago
3 0

Answer:

Consider the following explanation

Explanation:

We will use derivative to get minimum cost.

To get minimum cost, we will solve C'(x) =0 for x.

C(x)=0.1x2-20x+12942

C'(x)=0.2x-20

C'(x)=0   =>    x= 100 ( Critical point)

Now apply second derivative test to decide minimum value of C(x).

C"(x)=0.2

At x=100, C"(x) = 0.2 >0 . Hence C(x) will be minimum when x=100.

So Cmin = 0.1(100)2-20(100) + 12942.

  Cmin = 11942

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