Question

1. Mellow Mushroom makes two types of pizza: basic cheese (cheese and tomatoes) and margherita (cheese, tomatoes, and basil). Mellow Mushroom sells at least 60 units a day of margherita 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 margherita 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 margherita 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 margherita pizza sells for $24 per unit? a. Clearly define the variables in this problem. x= y= b. Clearly state the constraints (all inequalities) related to the feasible region. c. State the objective function. d. Use the graphical method to solve: Graph the solution region, showing the intercepts used. Label axes, units, points and lines. Find and label all corner points. The grid for the graph is on the next page. Show all necessary work. e. How many units of each pizza should Mellow Mushroom make in order to maximize revenue if the basic pizza sells for $15 per unit and the margherita pizza sells for $24 per unit?

          1. Mellow Mushroom makes two types of pizza: basic cheese (cheese and tomatoes) and margherita (cheese, tomatoes, and basil). Mellow Mushroom sells at least 60 units a day of margherita 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 margherita 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 margherita 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 margherita pizza sells for $24 per unit?
a. Clearly define the variables in this problem.
x=
y=
b. Clearly state the constraints (all inequalities) related to the feasible region.
c. State the objective function.
d. Use the graphical method to solve: Graph the solution region, showing the intercepts used. Label axes, units, points and lines. Find and label all corner points. The grid for the graph is on the next page. Show all necessary work.
e. How many units of each pizza should Mellow Mushroom make in order to maximize revenue if the basic pizza sells for $15 per unit and the margherita pizza sells for $24 per unit?

1. Mellow Mushroom makes two types of pizza: basic cheese (cheese and tomatoes) and margherita (cheese, tomatoes, and basil). Mellow Mushroom sells at least 60 units a day of margherita 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 margherita pizza, and the cost of tomatoes is1 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 margherita pizza is5 per unit, and the cheese for the basic cheese pizza is 4 per unit. Mellow Mushroom can spend no more than1,000 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 margherita pizza sells for24 per unit?
a. Clearly define the variables in this problem.
x=
y=
b. Clearly state the constraints (all inequalities) related to the feasible region.
c. State the objective function.
d. Use the graphical method to solve: Graph the solution region, showing the intercepts used. Label axes, units, points and lines. Find and label all corner points. The grid for the graph is on the next page. Show all necessary work.
e. How many units of each pizza should Mellow Mushroom make in order to maximize revenue if the basic pizza sells for 15 per unit and the margherita pizza sells for24 per unit?

Added by Regina B.

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