In: Math
The demand function for buying some plants is p(q) = 2 − q 2000 . The cost function for producing q plants is C(q) = 1000 + 0.2q.
(a) Find the marginal profit function.
(b) Find where the marginal profit function is equal to 0.
(c) Show that we get a local maximum at the value found in part (b).