A Firm Produces Two Products (A and B) Jointly $$Q _ { A } = 300 - 4 P _ { A } \quad Q _ { B } = 150 - 2 P _ { B }$$

Essay

A firm produces two products (A and B) jointly. Every time a unit of A is produced, a unit of B is also produced as a byproduct. The demand functions for A and B are:The marginal cost of producing a unit of joint output is: $$Q _ { A } = 300 - 4 P _ { A } \quad Q _ { B } = 150 - 2 P _ { B }$$ Assuming that disposal is costless, determine how many units the firm should produce to maximize profits? $$M C = 100 + Q$$