Baking a tray of corn muffins takes 3 cups of milk and 3 cups of wheat flour. Baking a tray of bran muffins takes 4 cups of milk and 2 cups of wheat flour. A baker has 24 cups of milk and 18 cups of wheat flour. He makes a profit of $3 per tray of corn muffins and a profit of $2.50 per tray of bran muffins. How many trays of each type of muffin should the baker make to maximize his profit? a. Write a system of linear inequalities to represent the constraints. Write one equation for Milk and one for Flour.

b. Graph the feasible region and identify the “corners” of your feasible region.

c. Write the objective function for the profit and find the maximum profit for the given constraints.

x = corn muffins y = bran muffins