1. The company's cost C(x)=x^2-3x+64 dollars to produce x items The selling price p when x hundred units are produced is p(x)=1/4(44-x). Determine the level of production (# of items produced) that maximizes profit.

Here are my steps:

R(x)= x(1/4)(44-x)=11x-(1/4)x^2

R(x)=C(x)

11x-(1/4)^2=x^2-3x+64

derive: 11-(1/2)(x)=2x-3

-(1/2)x-2x=-14

-5/2(x)=-14

5x=28

x=28/5=5.6

Since Profit is P(x)= R(x)-C(x):

P(5.6)=(5.6)(1/4(44-5.6))-5.6^2+3(5.6)-64

I got -24.8 which i know is not the right answer. Please help.