Question

(7 pts) An appliance manufacturer finds that the profit P (in dollars) generated by producing x

microwave ovens per week is given by the formula P = 0.1x(300-x) provided that 0≤x≤
200. How many ovens must be manufactured in a given week to generate a profit of $1250? show step-by-step.

Answer 1

50

Explanation:

`0.1x(300-x)=1250 \\ \\ x(300-x)=12500 \\ \\ 300x-x^2=12500 \\ \\ x^2 - 300x+12500=0 \\ \\ (x-250)(x-50)=0 \\ \\ x=50, 250`

However, because of the domain restriction, x=50.