an aircraft factory manufactures airplane engines. the unit cost c (the cost in dollars to make each airplane engine) depends on the number of engines made. if x engines are made, then the unit cost is given by the function c(x) = 1.1x^2 - 638x + 111,541 . what is the minimum unit cost?
do not round your answer.

=65  181/290

Step-by-step explanation:

The minimum cost is arrived to when ΔC/Δx is zero.

ΔC/Δx= 2.2x-638

We equate this to zero to get the minimum.

2.2x-638=0

2.2x=638

x=290

The cost for 290 engines is given by:

C(x)=1.1x²-638x+111,541

We replace the value of x above in this function.

=1.1(290)²-638(290)+111541

=19 031

Then 1 unit costs 19031/290

=65  181/290

step-by-step explanation:

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