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REY [17]
3 years ago
11

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? Do not round your answer.
Business
1 answer:
nataly862011 [7]3 years ago
8 0

Answer:

Incomplete question

Complete question:

An aircraft factory manufactures airplane engines. The unite cost C ( the cost in dollars to make each airplane engine) depends on the number of engines made. If x is the number of engines made, then the unit cost is given by the function C(x)=0.8x^2-160x+26848. What is the minimum unit cost? not rounded

Answer: $18848

Explanation:

Since we have the function

C(x) = 0.8x²-160x+26,848

Firstly, we differentiate

C'(x) = 1.6x - 160

The minimum cost will occur where x = 100.

The vertex of a parabola (quadratic equation) occurs where X = -b/2a, in this case we have that

X = 160/(2×0.8) = 100

Therefore, we substitute x = 100 into the original equation

We have that

C(x) = 0.8(100)²-160(100)+26848

C(x) = 8000-16000+26848

C(x) = $18848

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