In: Economics
Suppose that your firm produces two products in fixed
proportions, so that if you decide to produce one more unit of X,
your firm must also produce one more unit of Y. If TC = 100 + 3Q
+½Q2 and the demand curves for X and Y are
QX=100-2PX, and
QY=101-PY find the profit maximizing
outputs.
(a) Find the expressions for MR for good X and good Y. (Hint: solve
each demand curve for P, multiply by Q, take the first derivative
with respect to Q to get MR.)
(b) Find the expression for MC.
(c) Find the profit maximizing output.
(d) Find the price of each good.