1. Find the area bounded by the graphs of f(x) =(1/2)x+3, g(x) = -x2 + 1, x = -2, and x =1.
2. A manufacturer has found that marginal cost is 3q2 - 60q + 400 dollars per unit when q units have been produced.
(a) If the total cost of producing the first 2 units is $900. What is the total cost of producing the first 5 units?
Given that the fixed cost is $500, find the total cost function C(q) and the cost of producing 30 units?