Randex Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the formula P = –2x2 + 4x + 2 where x is the number of units produced per week, in thousands.

a. How many units should the company produce per week to earn the maximum profit?

b. Find the maximum weekly profit.

A.

a. 10 units; b. $1000

B.

a. 1000 units; b. $400

C.

a. 1 unit; b. $500

D.

a. 100 units; b. $800

Question

Randex Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the formula P = –2x2 + 4x + 2 where x is the number of units produced per week, in thousands.

a. How many units should the company produce per week to earn the maximum profit?

b. Find the maximum weekly profit.
	
A. 	
	
	 

a. 10 units;  b. $1000
 
	
B. 	
	
	 

a. 1000 units;  b. $400
 
	
C. 	
	
	 

a. 1 unit;  b. $500
 
	
D. 	
	
	 

a. 100 units;  b. $800

anonymous · Answer

Differentiate the formula to give P'(x) = -4x + 4 then equate this to 0 which gives x a value of 1. So that it 1 thousand units, then substitute this into the original formula to get the answer for p in hundreds