The Bellmont Company produces two joint products, X and Y. The isocost curve corresponding to a total cost of $50,000 is
Qy=520-200x - 203
where Qy is the quantity of product Y produced by the firm and Qx is the quantity of product X produced. The price of product X is $480 and the price of product Y is $10.
a. If the optimal output combination lies on this isocost curve, what is the optimal output of product X?
b. What is the optimal output of product Y?
c. Can you be sure that the optimal output combination lies on this isocost curve? Why or why not?