Question

Suppose that the revenue generated by selling x units of a certain commodity is given by R = -1/5x^2 + 200x. Assume that R is in dollars. What is the maximum revenue possible in this situation? ​

Answer 1

50,000

Step by step

y=ax^2+bx+c

use formula x=-b/2a to find maximum/ minumum point with quadratic formulas

x=-200/-1/5(-0.2)

x=500

plug in 500 for x

-1/5(500)^2+200(500)

-50000+1000000

500000