1. The weekly demand for really high quality espresso shots at a local coffee stand is given by the demand equation p=-0.02x +300 (0 SI< 15, 000) where p denotes the unit price in dollars and r denotes the quantity demanded. The weekly total cost function associated with making the espresso is C(z) = 0.000003r-0.04z2 + 200x +70,000 %3D dollars. (a) Find the revenue function R(z) and the profit function P(z). (b) Find the marginal cost, marginal revenue, and marginal profit functions. (c) Find the marginal average cost function.
1. The weekly demand for really high quality espresso shots at a local coffee stand is given by the demand equation p=-0.02x +300 (0 SI< 15, 000) where p denotes the unit price in dollars and r denotes the quantity demanded. The weekly total cost function associated with making the espresso is C(z) = 0.000003r-0.04z2 + 200x +70,000 %3D dollars. (a) Find the revenue function R(z) and the profit function P(z). (b) Find the marginal cost, marginal revenue, and marginal profit functions. (c) Find the marginal average cost function.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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