In: Math
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) = 6x and C(x) = 0.005x^2 + 2.5x + 40, find each of the following.
a) P(x)
b) R(150), C(150), and P(150)
c) R'(x), C'(x), and P'(x)
d) R'(150), C'(150), and P'(150)