It takes 2 hours for workers at Cary's Dairy Farm to prepare a pound of milk and 4 hours to prepare a pound of cheese. Additionally, it takes 10 pounds of milk to make 1 pound of cheese. The cows at the farm can produce a maximum of 150 pounds of milk a day. The farm workers can devote a maximum of 240 hours of labor a day. If the farm makes a profit of $4.00 for every pound of milk it sells and $2.00 for every pound of cheese, what is the maximum profit the farm can make each day?

Question

It takes 2 hours for workers at Cary's Dairy Farm to prepare a pound of milk and 4 hours to prepare a pound of cheese. Additionally, it takes 10 pounds of milk to make 1 pound of cheese.  The cows at the farm can produce a maximum of 150 pounds of milk a day. The farm workers can devote a maximum of 240 hours of labor a day.   If the farm makes a profit of $4.00 for every pound of milk it sells and $2.00 for every pound of cheese, what is the maximum profit the farm can make each day?