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A record club has found that the marginal profit, P'(x), in cents, is given by P'(x) = -0.0005x³ +0.19x² +56.9x for x ≤ 400, where x is the number of members currently enrolled in the club. Approximate the total profit when 240 members are enrolled by computing the 6 sum ΣP' (X₁) Ax with Ax = 40. i=1 SOR Marginal profit (in cents) The total profit when 240 members are enrolled is approximately $. (Round to the nearest cent as needed.) 22,000 17,600 13,200- 8,800- 4,400 0- AP'(x) = -0.0005x³ +0.19x² +56.9x VVVI 100 200 Number of members 300 400 Q Q G

A record club has found that the marginal profit, P'(x), in cents, is given by P'(x) = -0.0005x³ +0.19x² +56.9x for x ≤ 400, where x is the number of members currently enrolled in the club. Approximate the total profit when 240 members are enrolled by computing the 6 sum ΣP' (X₁) Ax with Ax = 40. i=1 SOR Marginal profit (in cents) The total profit when 240 members are enrolled is approximately $. (Round to the nearest cent as needed.) 22,000 17,600 13,200- 8,800- 4,400 0- AP'(x) = -0.0005x³ +0.19x² +56.9x VVVI 100 200 Number of members 300 400 Q Q G

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A record club has found that the marginal profit, P'(x), in cents, is 3 2 given by P'(x) = -0.0005x +0.19x+56.9x for x≤ 400, where x is the number of members currently enrolled in the club. Approximate the total profit when 240 members are enrolled by computing the 6 ΣP' (x₁) Ax with Ax = 40. (Χι) i=1 sum ... The total profit when 240 members are enrolled is approximately $ (Round to the nearest cent as needed.) Marginal profit (in cents) 22,000 17,600- 13,200 8,800- 4,400- 0 AP'(x)= -0.0005x³ +0.19x² +56.9x N 100 200 Number of members 300 400 Q Q
Transcribed Image Text:A record club has found that the marginal profit, P'(x), in cents, is 3 2 given by P'(x) = -0.0005x +0.19x+56.9x for x≤ 400, where x is the number of members currently enrolled in the club. Approximate the total profit when 240 members are enrolled by computing the 6 ΣP' (x₁) Ax with Ax = 40. (Χι) i=1 sum ... The total profit when 240 members are enrolled is approximately $ (Round to the nearest cent as needed.) Marginal profit (in cents) 22,000 17,600- 13,200 8,800- 4,400- 0 AP'(x)= -0.0005x³ +0.19x² +56.9x N 100 200 Number of members 300 400 Q Q
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