For the cost and price functions​ below, find ​(​a) the​ number, q, of units that produces maximum​ profit; ​(​b) the​ price, p, in dollars per unit that produces maximum​ profit; and ​(​c)   c(q)=40+20qe^-0.01q;p=60e^-0.01q the maximum​ profit, P, in dollars.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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For the cost and price functions​ below, find

​(​a)

the​ number, q, of units that produces maximum​ profit;

​(​b)

the​ price, p, in dollars per unit that produces maximum​ profit; and

​(​c)
 
c(q)=40+20qe^-0.01q;p=60e^-0.01q

the maximum​ profit, P, in dollars.

 

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