Bryant's Pizza, Inc. is a producer of frozen pizza products. The company makes a net income of $1.00 for each regular pizza and $1.50 for each deluxe pizza produced. The firm currently has 150 pounds of dough mix and 50 pounds of topping mix. Each regular pizza uses 1 pound of dough mix and 4 ounces (16 ounces= 1 pound) of topping mix. Each deluxe pizza uses 1 pound of dough mix and 8 ounces of topping mix. Based on the past demand, Bryant wants to make at least 50 regular pizzas and at least 25 deluxe pizzas. The problem is to determine the number of regular and deluxe pizzas the company should make to maximize net income.
1. Formulate this problem as an LP problem and write the linear programming model here. (Include definitions of decision variables, objective function and constraints.)
2. Solve using QM for Windows. Paste image of Linear Programming Results window and Solution List window here.
3. Explain your solution in words.
4. How much dough mix and topping mix are leftover?