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A record club has found that the marginal profit, P'(x), in cents, is given by P'(x)= -0.0006x³ +0.40x² +62.9x for x ≤ 600, where x is the number of members currently enrolled in the club. Approximate the total profit when 360 members are enrolled by computing the 6 sum P'(x₁) Ax with Ax = 60. i=1 The total profit when 360 members are enrolled is approximately $153104.90 (Round to the nearest cent as needed.) Marginal profit (in cents) P(x)= -0.0006x³ +0.40x²+62.9x 58,000+ 46,400- 34,800- 23,200- 11,600- 0+ 0 T III IV V VI 100 200 300 400 500 600 Number of members G G C

A record club has found that the marginal profit, P'(x), in cents, is given by P'(x)= -0.0006x³ +0.40x² +62.9x for x ≤ 600, where x is the number of members currently enrolled in the club. Approximate the total profit when 360 members are enrolled by computing the 6 sum P'(x₁) Ax with Ax = 60. i=1 The total profit when 360 members are enrolled is approximately $153104.90 (Round to the nearest cent as needed.) Marginal profit (in cents) P(x)= -0.0006x³ +0.40x²+62.9x 58,000+ 46,400- 34,800- 23,200- 11,600- 0+ 0 T III IV V VI 100 200 300 400 500 600 Number of members G G C

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 given by P'(x) = -0.0006x³ +0.40x² +62.9x for x ≤ 600, where x is the number of members currently enrolled in the club. Approximate the total profit when 360 members are enrolled by computing the 6 sum ΣP' (x₁) Ax with Ax = 60. i=1 The total profit when 360 members are enrolled is approximately $153104.90 (Round to the nearest cent as needed.) Marginal profit (in cents) 58,000(x)=-0.0006x³ +0.40x²+62.9x 46,400- 34,800 23,200- 11,600- 0- -O 0 Tİ IV V VI 100 200 300 400 500 600 Number of members o N
Transcribed Image Text:A record club has found that the marginal profit, P'(x), in cents, is given by P'(x) = -0.0006x³ +0.40x² +62.9x for x ≤ 600, where x is the number of members currently enrolled in the club. Approximate the total profit when 360 members are enrolled by computing the 6 sum ΣP' (x₁) Ax with Ax = 60. i=1 The total profit when 360 members are enrolled is approximately $153104.90 (Round to the nearest cent as needed.) Marginal profit (in cents) 58,000(x)=-0.0006x³ +0.40x²+62.9x 46,400- 34,800 23,200- 11,600- 0- -O 0 Tİ IV V VI 100 200 300 400 500 600 Number of members o N
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