college algebra
posted by Anonymous on .
At Allied electronics, production has begun on x15 computer chip. The total revenue function is given by. R(x)=47x0.3x^2 and the total cost function is given C(x)=8x+16, where x represents the number of boxes of computer chip produced.
A. Find the profit function in P(x)=R(x)C(x)
Find the profit for 100 items produced
How many items do you have to produce to maximize the profit.
Thanks for your help.

A. They've told you what P(x) is:
P(x) = R(x)C(x)
= 47x.3x^2  (8x+16)
= .3x^2 + 39x  16
Now , that's just a parabola, and you know that the parabola ax^2+bx+c has its vertex at x = b/2a, so
max profit P(x) occurs at
x = 39/.6 = 65