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The cost function for a product is C(x)=0

Accounting Dec 08, 2020

The cost function for a product is C(x)=0.8x2+180x+190C(x)=0.8x2+180x+190. Find the average cost over [0,700][0,700].

Expert Solution

Given:

C(x)=0.8x2+180x+190C(x)=0.8x2+180x+190

and 0≤x≤7000≤x≤700

Hence:

A(C(x))=0.8x2+180x+190xA(C(x))=0.8x2+180x+190x

A(C(x))=0.8x+180+190x→(1)A(C(x))=0.8x+180+190x→(1)

Put x =70 0 in eqquation (1) , we get:

A(C(700))=0.8×700+180+190700A(C(700))=0.8×700+180+190700

=740+0.2714=740+0.2714

=740.2714

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