The cost in dollars of producing x yards of a certain fabric is C(x) = 1100 + 13

Question

The cost in dollars of producing x yards of a certain fabric is C(x) = 1100 + 13x - 0.lx^2 + 0.0005x^3. (a) find the marginal cost function C(x) = (b) Find C(200) and explain its meaning. What does it predict? C(200) = and this is the rate at which costs are increasing with respect to the production level when x = C(200) predicts the cost of producing the yard. (c) Compare C(00) with the cost of manufacturing the 20lst yard of fabric. (Round your answer to four decimal places.) The cost of manufactory the 201st yard of fabric is C(20l) - C(200) = -3, 700 = which it approximately C[200].

Explanation / Answer

a)marginal cost function=C'(x)=13-0.2x+0.0015x2

b) C'(200)=33 and this is the ......................when x=200. C'(200) predicts the cost of producing the 200 yard.

c) C(201)-C(200)=3733.201-3700=33.201 which is approximately C'(200).

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