The cost, in thousands of dollars, of airing x television commercials during a s

Question

The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 150 + 2,500x-0.01x2 (a) Find the marginal cost function C(x) C'(x)--0.02x + 2500 | (b) Use the marginal cost to approximate the cost to air the 5th commercial. Convert your answer to dollars The cost to air the 5th commercial is approximately Xdollars (c) What is the exact cost to air the 5th commercial? Convert your answer to dollars. The exact cost to air the 5th commercial is X dollars.

Explanation / Answer

C'(x)=-0.02x+2500

b. C'(5)= -0.02(5)+2500=$2499.9

c.C(5)= 150+2500(5)-0.01(25)=12,649.75

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