A product can be produced at a total cost C(x) = 800 + 100x ^ 2 + x ^ 3 dollars , where x is the number produced . If thetotal revenue is given by R(x) = 60000x - 50x ^ 2 dollars , determine the level of production , x, that will maximize the profit Find the maximum profit and sketch the graphs of P(x) and P(x)

A product can be produced at a total cost C(x) = 800 + 100x ^ 2 + x ^ 3 dollars , where x is the number produced . If thetotal revenue is given by R(x) = 60000x - 50x ^ 2 dollars , determine the level of production , x, that will maximize the profit Find the maximum profit and sketch the graphs of P(x) and P(x)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.3: Maxima And Minima

Problem 19E

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