Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 8x and C(x) = 0.004x^2 + 4.8x + 70, find each of the following
a) P(x)
b) R(100), C(100), and P(100)
c) R'(x), C'(x), and P'(x)
d) R'(100), C'(100), and P'(100)
a) P(x) =
(Use integers or decimals for any numbers in the expression.)