3. A coffee shop is making pancakes and waffles for a fundraiser to sell. It takes 2 hours to
prepare waffles and 0.5 hours to cook them. Preparing pancakes takes 1 hour and 0.5 hours
to cook them. You have a maximum of 16 hours to prepare them and a maximum of 6 hours
to cook them. You make a $8 profit when you sell a waffle. You make a $6 profit when you
sell a pancake. Let x stand for waffles and y stand for pancakes. Write the inequality that
shows the constraint of preparation for the coffee shop.
a. Write a system of constraints to model the problem.
b. Write the objective function.
c. Graph the feasible region and label the vertices on a piece of graph paper.
d. Find the optimal solution to maximize the profit.
150
140