Set up the system and solve using Linear Programming: A Geometric Approach My nieces and nephews raise goats and pigs. They want to raise no more than 16 all together with no more than 10 goats. It costs them $25 to raise a goat and $75 to raise a pig. They have $900 available to do this. They can earn a profit of $12 for each goat and a profit of $40 for each pig. How many goats and how many pigs should they raise to maximize total profit. What is the maximum profit