Holcomb Hill Fitness has found that the marginal profit, P'(x), in cents, is given by P' (x) = -0.0006x + 0.28.x? + 55.6x, where x is the number of members currently enrolled at the health club. Find the following: for x < 500 r300 P(3)da -ΣΡ'a)Δπ i=1 Where > P' (x;)Ax is the Riemann Sum when 300 members are enrolled for Ax = 50 (see i=1 figure below). ул 30,000 P' 24,000 18,000 12,000 6000 100 200 300 400 500 х Number of members 560, 520.83 640, 750 1, 742, 000 d 47, 850 Marginal profit (in cents)
Holcomb Hill Fitness has found that the marginal profit, P'(x), in cents, is given by P' (x) = -0.0006x + 0.28.x? + 55.6x, where x is the number of members currently enrolled at the health club. Find the following: for x < 500 r300 P(3)da -ΣΡ'a)Δπ i=1 Where > P' (x;)Ax is the Riemann Sum when 300 members are enrolled for Ax = 50 (see i=1 figure below). ул 30,000 P' 24,000 18,000 12,000 6000 100 200 300 400 500 х Number of members 560, 520.83 640, 750 1, 742, 000 d 47, 850 Marginal profit (in cents)
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:Holcomb Hill Fitness has found that the marginal profit, P'(x), in cents, is given
by
P' (x) = -0.0006x + 0.28.x? + 55.6x,
where x is the number of members currently enrolled at the health club. Find the following:
for x < 500
r300
P(3)da -ΣΡ'a)Δπ
i=1
Transcribed Image Text:Where > P' (x;)Ax is the Riemann Sum when 300 members are enrolled for Ax = 50 (see
i=1
figure below).
ул
30,000
P'
24,000
18,000
12,000
6000
100
200
300
400
500 х
Number of members
560, 520.83
640, 750
1, 742, 000
d
47, 850
Marginal profit (in cents)
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