Need Help? En tenul 0.43/0.55 points 1 Previous Answers The cost, in thousands o

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Need Help? En tenul 0.43/0.55 points 1 Previous Answers The cost, in thousands of doilars, of airing x television commercials during a sports event is given by 11.2.000 y Notes Ask Your ax) = 150 + 2,900-0.04x2. (a) Find the marginal cost function C(x). HINT [See Example 1 ctx)-| 2900-0.08x Use it to determine how fast the cost is increasing when x -4 2899.68 thousand dollars Compare this with the exact cost of airing the fifth commercial. The cost is going up at the rate of $?2899680 per television commercial. The exact cost of airing the fifth commercial is s 2890 64x Thus, there is a difference of s (004 (b) Find the average cost function C, and evaluate C(4) HINT [See Example 4. ?o) 150 C(4)2937.34 thousand dollars What does the answer tell you? C(x)- 2900 0.04x The average cost of airing the first four commercials is $ 2937340per commercial. Need Help? LRed Talk to Tuter 7. 0.55/0.55 points I Previous Answers WaneFMAC6 11.2010. My Notes Ask Your Teacher

Explanation / Answer

Question number 6
(a)C(x) =150+2900x-0.04x2
So Marginal cost function
C'(x)= 2900-0.08x
the rate of increament of cast when x= 4
C'(4)=2899.68 thousand dollars
Exact cost of airing 5th commercial is
C(5th ) = C(5)- C(4)= 2900(5-4)- 0.04(52-42) =2899.64 Thousand dollar= 28996400 dollar
And so there is a difference of 0.04 thosand dollar = 40 Dollar

Note :- Your entire solution is correct but the mistake happened was not taking care of units . The cost function has unit Thosands dollar so in answer we have to mention Thousand dollars

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