Mellow Mushroom makes two types of pizza: basic cheese (cheese and tomatoes) and Margarita (cheese, tomatoes, and basil). Mellow Mushroom sells at least 60 units a day of Margarita pizza, and at least 40 units a day of the basic cheese pizza. The cost of tomatoes and basil is $2 per unit for the Margarita pizza, and the cost of tomatoes is $1 per unit for the basic cheese pizza. No more than $320 per day, can be spent on tomatoes and basil together. The cheese used for the margarita pizza is $5 per unit, and the cheese for the basic cheese pizza is $4 per unit. Mellow Mushroom can spend no more than $1,000 per day on cheese. How many units of each pizza should Mellow Mushroom make in order to maximize revenue if the basic cheese pizza sells for $15 per unit and the Margarita pizza sells for $24 per unit?

1. Clearly define the variables in this problem

x=

y=

1. 2.Clearly state the constrains (all inequalities) related to the feasible region and the objective function.

Constraints:

Objective Function:

3.Use the graphical method to solve the linear programming problem. Graph the feasible region. Label axes, units, and lines.

4.Find and label all corner points of your feasible region int he graph above. Show all your work.

5. Evaluate the corner points in the objective function to find the maximum.

6.How many units of each pizza should Mellow Mushroom make in order to maximize revenue?