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

At Allied electronics, production has begun on x-15 computer chip. The total revenue function is given by. R(x)=47x-0.3x^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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