Question

the profit for a company is given by the equation P=-0.0002x^2+140x-250000 where x is the number of units produced. what production level will yield maximum profit?

Answer 1

ok, so can you use an calculator in this question?

Answer 2

a graphics calculator*?

Answer 3

yes

Answer 4

I have TI-84 plus

Answer 5

okok, that's easy.

Answer 6

well I use a different calculator but the concept of the question is easy.

Answer 7

ok how do you do it?

Answer 8

P=-0.0002x^2+140x-250000
here we can see it's an upside down/inverted parabola indicated by the -0.0002x^2
for the maximum profit it will be at the maximum point, so just graph and find the max or work out the max by hand. of course you are looking for your y value which is known as P(profit) in this context and your x is just how many units you sold.