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A pizza truck sells 40 pizzas for $10 each per night. If they increase the price by $1, they sell 4 less pizzas, so their price function is p(x) The pizzas cost them $5 each to make. = 20- a) Write their profit as function of a, the number of pizzas they make and sell.

A pizza truck sells 40 pizzas for $10 each per night. If they increase the price by $1, they sell 4 less pizzas, so their price function is p(x) The pizzas cost them $5 each to make. = 20- a) Write their profit as function of a, the number of pizzas they make and sell.

Calculus For The Life Sciences
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.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 56E
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7. A pizza truck sells 40 pizzas for $10 each per night. If they increase the price by $1, they sell 4 less pizzas, so their price function is p(x) = 20 The pizzas cost them $5 each to make. - 4 (a) Write their profit as function of x, the number of pizzas they make and sell. (b) Use Calculus to find how much they should sell pizzas for to maximize their profit (show the test from Calculus that proves this is their maximum possible profit). Include units.
Transcribed Image Text:7. A pizza truck sells 40 pizzas for $10 each per night. If they increase the price by $1, they sell 4 less pizzas, so their price function is p(x) = 20 The pizzas cost them $5 each to make. - 4 (a) Write their profit as function of x, the number of pizzas they make and sell. (b) Use Calculus to find how much they should sell pizzas for to maximize their profit (show the test from Calculus that proves this is their maximum possible profit). Include units.
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