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
