Homework: 4.2 Homework Score: 0 of 1 pt 6 of 10 (10 complete) HW Score: 90 91%,
ID: 2886193 • Letter: H
Question
Homework: 4.2 Homework Score: 0 of 1 pt 6 of 10 (10 complete) HW Score: 90 91%, 10 of 11 Bus Econ 4.2.19 n Help A record club has found that the marginal profit, P'(x), in cents, is given by Px) -0.0007x+0.36x+57.3x for x s 500, where x is the number of members currently enrolled in the club. Approximate the total profit when 300 members (x)- -0 0007x 036 57 +57.3 are enrolled by computing the sum ?"(x)Axwith ??-50 S 21,600- 14.4 100 200 300 400 50 The total profit when 300 members are enrolled is approximately s Round to the nearest cent as needed)Explanation / Answer
total profit = area under the curve (marginal profit vs. x) from 0<x<300
It is approximately equal to highlighted yellow unit squares in the graph.
= 20.5 unit squares
now 1 square area = 50 *3600
therefore total profit = total area = 20.5*50*3600 = 3690000 cents = 36900 dollars.
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