A monopolistic producer of two goods, G1 and G2, has a joint total cost function where and denote the quantities of G1 and G2 respectively. If and denote the corresponding prices then demand equations...

A monopolistic producer of two goods, G1 and G2, has a joint total cost function where and denote the quantities of G1 and G2 respectively. If and denote the corresponding prices then demand equations are Find the maximum profit if the firm is contracted to produce a total of 15 goods of either type. Estimate the new optimal profit if the production quota rises by 1 unit.