16 Nov 2021
Problem 47c
Page 308
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
16 Nov 2021
Given information
Given :- A manufacturer has been selling 1000 television sets a week at $450 each.
To find :- If its weekly cost function is C(x)=68000+150x, how should the manufacturer set the size of rebate in order to maximize its profit?
Step-by-step explanation
Step 1.
The profit function P(x) when x units are sold is modelled by,
P(x)=R(x)-C(x)
=
Differentiating on both sides ,
Solve for P'(x)=0 , and simplified