As the owner of a fast food restaurant with declining sales, your customers are looking for something new and exciting on the menu. Your market research indicates that they want a burger that is loaded with everything as long as it meets certain health requirements. Money is no object to them.

The ingredient list in the table below shows what is available to include on the burger.

Item sodium(mg) Fat(g) calories item cost ($)

Beef patty 50 17 220 $0.25

Bun 330 9 260 $0.15

Cheese 310 6 70 $0.10

Onions 1 2 10 $0.09

Pickles 260 0 5 $0.03

Lettuce 3 0 4 $0.04

Ketchup 160 0 20 $0.02

Tomato 3 0 9 $0.04

Requirements:

Must include at least one of each item and no more than six of each item .

Must use whole items (no half or partial servings) Final burger must contain no more than 3,000 mg of sodium

no more than 3,000 mg of fat

no more than 3,000 calories.

To maintain certain taste quality standards,

keep the servings of ketchup and lettuce the same.

keep the servings of pickles and tomatoes the same.

Must use exactly two buns.

1. write a mathematical model that the helps the manager in designing the most expensive burger.

2. build an excel solver model for the mathematical model you built in part-1.

3. What is the cost of the most expensive burger you can make that meets these requirements?

4. What is the cost of the least expensive burger you can make that meets these requirements?

5. What would be your answer to part 3 above if the maximum sodium allowable is 2500 mg instead of 3000 mg?