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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

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
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 12 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

