Question

Find the number of units to be produced in order to maximize revenue if the demand function is given by p= 600x - 0.02x^2

Answer 1

p = -0.02(x - 30000p)

so vertex is at x = 15000 so 15000 units will max the revenue

Answer 2

or using calculus max/min techniques
p'=600-0.04x=0
x=15000

Answer 3

you only need to partially complete the square

Answer 4

whatever's easiest, I hate that trick.

Answer 5

p = -0.02(x^2 - 30000x)

Answer 6

if they don't know calculus finding the derivative might be a problem

Answer 7

Understood; we're probably dealing with an algebra student I'm guessing. So your method would seem easier, but calc makes it much easier if you know it.

Answer 8

I agree

Answer 9

I'm actually a calc student, though end of day its good to know both methods, thanks.