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
icon
Related questions
Question

I just cant solve this /8

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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,