Farmer Jones raises only pigs and geese. He wants to raise at most 16 animals. He wants no more than 12 geese. He spends $5 to raise a pig and $2 to raise a goose and has 550 available to spend. If he
makes a profit of S4 per pig and S8 per goose, how many of each does he need to raise in order to
maximize his profits?
Write the objective function. Let a represent the number of pigs and y represent the number of geese.