Total cost from marginal cost. Shelly's Roadside Fruit has found that the marginal cost of producing x pints of fresh-squeezed orange juice is given by C'(x) = 0.000008x² – 0.004x + 2, for x < 350, where C'(x) is in dollars. Approximate the total cost of producing 270 pt of juice, using 3 subintervals over [0, 270] and the left endpoint of each subinterval.

Total cost from marginal cost. Shelly's Roadside Fruit has found that the marginal cost of producing x pints of fresh-squeezed orange juice is given by C'(x) = 0.000008x² – 0.004x + 2, for x < 350, where C'(x) is in dollars. Approximate the total cost of producing 270 pt of juice, using 3 subintervals over [0, 270] and the left endpoint of each subinterval.

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.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...

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