A small rancher raises goats and pigs. He wants to raise no more than 16 animals, including no more than 10 goats. He spends $25 to raise a goat and $75 to raise a pig, and has a total of $900 available for the project. Find the maximum profit he can make if each goat produces a profit of $14and each pig produces a profit of $40.

Assume: x = number of goats and y = number of pigs

(a) How many goats and pigs should he raise?

(b) What would be the maximum profit?