Let C(q) represent the cost and R(q) represent the revenue, in dollars, of producing q items.
(a) If C(50) = 4300 and C'(50) = 24, estimate C(52).
(b) If C'(50) = 24 and R'(50) = 35, approximately how much profit is earned by the 51st item?
(c) If C'(100) = 38 and R'(100) = 35, should the company produce the 101st item? Why or why not?