11. An Ice Cream Truck determines that their daily profit can be modelled by the function: P(x) = -100x² + 700x - 600, where x represents the selling price per ice cream, in dollars. a) At what selling price does the ice cream truck break even? (profit b) Determine the marginal profit function, P'(x). = 0) c) The profit will be a maximum when the marginal profit equals zero. Determine the selling price per ice cream that results in a maximum profit.

11. An Ice Cream Truck determines that their daily profit can be modelled by the function: P(x) = -100x² + 700x - 600, where x represents the selling price per ice cream, in dollars. a) At what selling price does the ice cream truck break even? (profit b) Determine the marginal profit function, P'(x). = 0) c) The profit will be a maximum when the marginal profit equals zero. Determine the selling price per ice cream that results in a maximum profit.

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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9. Find the slope of f(x) = (x+2)2 +5 at the point (3,-4)