Posted by Anonymous on Wednesday, April 3, 2013 at 3:13pm.
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.

college algebra  Steve, Wednesday, April 3, 2013 at 3:32pm
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
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