A small-appliance manufacturer finds that the profit p (in dollars) generated by producing x microwave ovens per week is given by the formula P=1/10x(300-x) produced that 0

Question

A small-appliance manufacturer finds that the profit p (in dollars) generated by producing x microwave ovens per week is given by the formula P=1/10x(300-x) produced that 0<=x<=200. How many ovens must be manufactured in a given week to generate a profit of $1250?

dtan5457 · Answer

Anyone have a clue?

anonymous · Answer

2105.60 = x/10 * (300 - x) 

300x - x² = 21056 

x² - 300x + 21056 = 0 

x = (300 +/- √(90,000 - 4(21056))/2 = (300 +/- 76)/2 

x = 112 or x = 188

dtan5457 · Answer

where'd you get the 2105.60?

dtan5457 · Answer

Anyone with a more worded answer so I can understand better?