Question

Margaret runs a business. This year’s revenue is given by the function

Answer 1

Answer:

No, she can make less than $25000 according to the calculation

Step-by-step explanation:

Given the revenue function expressed as R = −0.5x2 − 200x, Margaret revenue will be at the maximum if dR/dx = 0

dR/dx = -2(0.5)x -200

dR/dx = -x -200

Since dR/dx = 0

-x-200 = 0

x = -200

Substitute x = -200 into the function.

R = −0.5x^2 − 200x

R = −0.5(-200)^2 − 200(-200)

R = -0.5(40000)+40000

R = -20000+40000

R = 20000

This means that the revenue for the year is $20,000 which shows that her revenue cannot be at least $25000 for that year but she could make less than $25000