Question: 2. Linear programming: Please use the graphical model to solve this problem. For 15 points. A Nutritionist wants to put together a Lunch menu for

2. Linear programming: Please use the graphical model to solve this problem. For 15 points. A Nutritionist wants to put together a Lunch menu for certain Nursing Homes' long term occupants. The menu is to include two items A and B. Suppose that each ounce of A provides 2 units of vitamin C and 2 units of iron and each ounce of B provides 1 unit of vitamin C and 2 units of iron. Suppose the cost of A is 4/ounce and the cost of B is 3/ounce. Since Item B was purchased under difficult negotiation contact, at least 1 ounce of it must be present per serving. If the lunch menu must provide at least 8 units of vitamin C and at least 10 units of iron, how many ounces of each item should be provided in order to meet the iron and vitamin C requirements to minimize cost? What will this lunch cost?

What is the objective function?

What are the limitations (inequalities)?

Please provide a display showing interactions among limitations

What is the best combination of number of ounces of food A and B that should be considered to minimize Cost?

What is the minimum cost?

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