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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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) .
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