Asmall-appliance manufacturer finds that the profit p (in dollars) generated by producing x microwave ovens per week is given by the formula p = 1 /10 x (300 − x) provided that 0 ≤ x ≤ 200. how many ovens must be manufactured in a given week to generate a profit of $1610?

Number of ovens must be manufactured in a given week to generate a profit of $1610  is 70

Step-by-step explanation:

We are given

A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula

provided that 0 ≤ x ≤ 200

We are given

profit is $1610

so, we can set P=1610

and then we can solve for x

Multiply both sides by 10

now, we can factor it

we can solve for x

and we get

Since, x=230 does not lie on 0 ≤ x ≤ 200

So, we will consider only x=70

So,

Number of ovens must be manufactured in a given week to generate a profit of $1610  is 70