Dalco manufacturing estimates that its weekly profit, p, in hundreds of dollars, can be approximated by the formula p= -2x^2 + 8x + 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

x=2000 and max profit =10,000 dollars

Step-by-step explanation:

Given that Dalco Manufacturing estimates that its weekly profit, P, in hundreds of dollars, can be approximated by the formula

,

where x is the number of units produced per week, in thousands

We can use derivative test for finding the maximum profit

Let us differentiate P with respect to x two times

Actual units = 2000

a) 2 units should be produced per week to get maximum profit

b) Maximum profit =

Maximum profit actual =10000 dollars.

this answer is !