A record club has found that the marginal profit, P'(x), in cents, is given by P'(x) = -0.0008x³ +0.36x² +34.9x 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 sum ΣP' (xi) Ax with Ax=40. The total profit when 240 members are enrolled is approximately $. (Round to the nearest cent as needed.) 24,000-px-0.00pex+0.36x²+34 9x the 19,200 14.400 9.600 4.800 2 NV VI 100 200 300 Number of members 400
A record club has found that the marginal profit, P'(x), in cents, is given by P'(x) = -0.0008x³ +0.36x² +34.9x 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 sum ΣP' (xi) Ax with Ax=40. The total profit when 240 members are enrolled is approximately $. (Round to the nearest cent as needed.) 24,000-px-0.00pex+0.36x²+34 9x the 19,200 14.400 9.600 4.800 2 NV VI 100 200 300 Number of members 400
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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Transcribed Image Text:A record club has found that the marginal profit, P'(x), in cents, is given by P'(x) = -0.0008x³ +0.36x² +34.9x 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 sum
P' (x₁) Ax with Ax=40.
i=1
The total profit when 240 members are enrolled is approximately $.
(Round to the nearest cent as needed.)
Marginal profit (in cents)
24,000 P(x)=0.0008x³+0.36x² +34.9x
19,200-
14,400
9,600-
4.800-
to
JE
100 200 300 400
Number of members
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