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Solve the problem. Given the total-revenue function R(x) = 7600x, and the total-cost function C(x) = x³ - 2x² + 5x + 100, if P(x) is the total profit function, find P'(x) when x = 50.

Solve the problem. Given the total-revenue function R(x) = 7600x, and the total-cost function C(x) = x³ - 2x² + 5x + 100, if P(x) is the total profit function, find P'(x) when x = 50.

Advanced Engineering Mathematics
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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5. Answer the two multiple choice questions
Solve the problem. Consider the learning curve defined in the graph. Depicted is the accuracy, p, expressed as a percentage, in performing a series of short tasks versus the accumulated amount of time spent practicing the tasks, t. Is p(t) continuous at t=25? at t=40? att = 45? 100- 10 20 30 40 Practice Time (hours) Next ▸ Submit Quiz No new data to save Last checked at 11:08am Accuracy (percent) 80+ 60- 40+ 20- O Yes; no; yes O Yes; yes; yes O No; no; no O Yes; no; no < Previous
Transcribed Image Text:Solve the problem. Consider the learning curve defined in the graph. Depicted is the accuracy, p, expressed as a percentage, in performing a series of short tasks versus the accumulated amount of time spent practicing the tasks, t. Is p(t) continuous at t=25? at t=40? att = 45? 100- 10 20 30 40 Practice Time (hours) Next ▸ Submit Quiz No new data to save Last checked at 11:08am Accuracy (percent) 80+ 60- 40+ 20- O Yes; no; yes O Yes; yes; yes O No; no; no O Yes; no; no < Previous
Solve the problem. Given the total-revenue function R(x) = 7600x, and the total-cost function C(x) = x³ - 2x² + 5x + 100, if P(x) is the total profit function, find P'(x) when x = 50. O P (50) = $141 O P (50) = $290 O P (50) $295 O P (50) $300 < Previous
Transcribed Image Text:Solve the problem. Given the total-revenue function R(x) = 7600x, and the total-cost function C(x) = x³ - 2x² + 5x + 100, if P(x) is the total profit function, find P'(x) when x = 50. O P (50) = $141 O P (50) = $290 O P (50) $295 O P (50) $300 < Previous
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