Suppose the marginal profit from the sale of x hundred items is:

Question

P'(x)=4-6x=3x^2

and the profit of 0 items is -$40
A. Find the profit function.
B. Find the profit from selling 800 items

I assume the P' is 4-6x+3x^2

Then P= 4x - 3x^2 + x^3 + C

where C is the constant of integration. You have P when x=0, so C= -40

Put in x=800 and you have it.

Answer 1

the profit is $510,083.16