1. Find the Marginal average cost function if cost and revenue are given by C(x)

Question

1. Find the Marginal average cost function if cost and revenue are given by C(x)= 170 + 2.5x and R(X)= 5x-0.06x^2. The Marginal Average cost function is C'(x) =

2. Find the Marginal profit function if cost and revenue are given by C(x) = 156+0.9x and R(x)=9x-0.05x^2. P'(x)=

3. The total cost (in dollars) of manufacturing x auto body frames is C(x)=30,000+200x.

(a) Find the average cost per unit if 100 frames are produced.

(b) Find the marginal average cost at a production level of 100 units.

(c) Use the results from parts a & b to estimate the average cost per frame if 101 framed are produced.

Explanation / Answer

1.Average cost function,C(x)/x=(170/x)+2.5

Marginal average cost function is the derivative of average cost function

(-170/x2)

2.P(x)=R(x)-C(x) = -0.05x2+8.1x-156

P'(x)= -0.1x +8.1

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