A Smallappliance manufacturer finds that the profit P in dol

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 = 1/10 x (300 - x) provided that 0 s times s 200, How many ovens must be manufactured in a given week to generate a profit 0f $2038, 40? ovens (smaller value) ovens (large value)

Solution

p = (1/10)x(300 -x)

2038.40 = (1/10)x(300 -x)

20384 = -x^2 + 300x

-x^3 + 300x - 20384 =0

x = ( -300 + /- sqrt( 90000 + 4*20384) )/-2

x = 104 , 196