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Suppose that a Pizza Store revenues about 20,000r pesos when employing y clerks. Let P be the weekly profit function (in pesos) of the store, which is given by P(r, y) = 3,000 + 240y + 20y(r – 2y) – 10(r – 12)*. What should be the number of clerks and their collected revenue to obtain the greatest profit? If the profit function is constrained by the equation 61r – y = 6133, is there still any profit? Justify your answer.

Suppose that a Pizza Store revenues about 20,000r pesos when employing y clerks. Let P be the weekly profit function (in pesos) of the store, which is given by P(r, y) = 3,000 + 240y + 20y(r – 2y) – 10(r – 12)*. What should be the number of clerks and their collected revenue to obtain the greatest profit? If the profit function is constrained by the equation 61r – y = 6133, is there still any profit? Justify your answer.

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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3. Suppose that a Pizza Store revenues about 20,000r pesos when employing y clerks. Let P be the weekly profit function (in pesos) of the store, which is given by P(r, y) = 3,000 + 240y + 20y(x – 2y) – 10(r – 12)*. What should be the number of clerks and their collected revenue to obtain the greatest profit? If the profit function is constrained by the equation 61x – y = 6133, is there still any profit? Justify your answer.
Transcribed Image Text:3. Suppose that a Pizza Store revenues about 20,000r pesos when employing y clerks. Let P be the weekly profit function (in pesos) of the store, which is given by P(r, y) = 3,000 + 240y + 20y(x – 2y) – 10(r – 12)*. What should be the number of clerks and their collected revenue to obtain the greatest profit? If the profit function is constrained by the equation 61x – y = 6133, is there still any profit? Justify your answer.
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