Question

The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 150 + 2,100x -0.01x2. (a) Find the marginal cost function C'(x). HINT [See Example 1.] C'(x) = Use it to determine how fast the cost is increasing when x = 4. thousand dollars Compare this with the exact cost of airing the fifth commercial. The cost is going up at the rate of $ per television commercial. The exact cost of airing the fifth commercial is $ a difference of $ Thus, there is (b) Find the average cost function c, and evaluate (4). HINT (See Example 4.] C(x) = C(4) = thousand dollars What does the answer tell you? The average cost of airing the first four commercials is $ per commercial. Need Help? Read It Talk to a Tutor

Answer 1

soli The cost. in Thousands of dollars, of Television during Sports is ava oy or commercial eC+) = 150 + 2100 X – 0.01$ marginal cost of function. e' () : da [lso ta1oox - o air Q100 02X Use it to determaine how fast the cost is increasing when x=4 2100- 0.02(4) 0.08 c'(4) = 2100 ( 2899.92 Thousand dolby, cost of airing fifth compare the exact commerciale cost is going up at the rate of 2099.92 thousand dollars. 2099.92X1000 $ 12099920 par Television commercial

The exact cost of airing the fifth commeratel is 2099920 0.01 X1000 2099920- $ 2099910 Thus there is a difference of 2099920 - 2099910 =$10 The Average cost function and 67) - CC*) X - 150+9100X D.olx 150 +260 () 0.01 (4)² - 4 (2137.46 Thousand dollars. The average cost of airing the first four commercials is 2137.16 Thousand dollay i 2137.46x1000 $2137460 per commercial.

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