A company's profit from producing a tons of polyurethane is given by: P(z) = v - 2r + 23 thousand dollars (for 0
A company's profit from producing a tons of polyurethane is given by: P(z) = v - 2r + 23 thousand dollars (for 0
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 company's profit from producing a tons of polyurethane is given by:
P(z) = vr3 - 2x + 23 thousand dollars (for 0 <a < 10)
a. Find P(4), Interpret your answer. Include units in your response.
b. Find a formula for P' (x). Use the formula to evaluate P' (4). Interpret your answer. Include
units in your response.
c. Using a graphing calculator or online graphing program, graph the profit function on the window
[0,10] by (0,30).
d. Using a graphing calculator or online graphing program, graph the marginal profit function using
the NDERIV function on the window (0,10] by [0,30).
e. Sketch the functions from c) and d) on the same graph.
f. Find to the nearest tenth of a unit the r-value where the marginal profit equals 4 using your
graphing calculator.
g. Interpret your answer in f). Include units in your response.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8c05cf5-ae51-4095-9cc1-7e79f6332cd6%2F63f86673-11b8-40eb-81a5-5e5431e91ce4%2Feuge7xh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company's profit from producing a tons of polyurethane is given by:
P(z) = vr3 - 2x + 23 thousand dollars (for 0 <a < 10)
a. Find P(4), Interpret your answer. Include units in your response.
b. Find a formula for P' (x). Use the formula to evaluate P' (4). Interpret your answer. Include
units in your response.
c. Using a graphing calculator or online graphing program, graph the profit function on the window
[0,10] by (0,30).
d. Using a graphing calculator or online graphing program, graph the marginal profit function using
the NDERIV function on the window (0,10] by [0,30).
e. Sketch the functions from c) and d) on the same graph.
f. Find to the nearest tenth of a unit the r-value where the marginal profit equals 4 using your
graphing calculator.
g. Interpret your answer in f). Include units in your response.
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