Help with Linear Programming Problem (Solver function)

Can someone help with the problem below?

The answer I get satisfies 5/6 constraints - Not sure if I am doing something wrong? I need it to satisfy all 6 constraints.

The chart is all messed up when i copy paste so I have attached the word document with the chart and also the excel document with my attempt on the solution.

Sandra Robles is the dietitian for a College basketball team, and she is attempting to determine a nutritious lunch menu for the team. She has set the following nutritional guidelines for each lunch serving.

• Between 1500 and 2000 calories
• At least 5 mg of iron
• At least 20 but no more than 60 g of fat
• At least 30 g of protein
• At least 40 g of carbohydrates
• No more than 30 mg of cholesterol
She selects the menu from seven basic food items as follows, with the nutritional contribution per pound and the cost as given.

Calories
(per lb) Iron
(mg/lb) Protein
(g/lb) Carbohydrates
(g/lb) Fat
(g/lb) Cholesterol
(mg/lb) $/lb
Chicken 520 4.4 17 0 30 180 3.44
Fish 500 3.3 85 0 5 90 3.99
Ground beef 860 0.3 82 0 75 350 4.99
Dried beans 600 3.4 10 30 3 0 1.10
Lettuce 50 0.5 6 0 0 0 0.90
Potatoes 460 2.2 10 70 0 0 0.59
Milk (2%) 240 0.2 16 22 10 20 0.83

Sandra wants to select a menu to meet the nutritional guidelines while minimizing the total cost per serving.

Please help Sandra to formulate a linear programming model and solve it using Excel Solver.

Can someone please help?

I find your problem a bit puzzling. I assume the different qualities blends linearly on a weight basis. A balanced lunch would then consist of different % of some of
the components to meet the required specification for calories, iron and so fort. This I've set up a model for on Sheet1.
The bad: With the given constraint solver can not find a solution that satisfies all given constraints.

On Sheet2 I've set up another solver solution but even if this gives a solution meeting the constraints I'm not sure the team will be able to play any basketball
after every one of them have had 3,5 pound of foodstuff for lunch. On the other hand I may be wrong. If solver assumes the dried beans to be "Mexican jumping beans"
then perhaps this will work in the teams favor.

Alf

Originally Posted by Alf

I find your problem a bit puzzling. I assume the different qualities blends linearly on a weight basis. A balanced lunch would then consist of different % of some of
the components to meet the required specification for calories, iron and so fort. This I've set up a model for on Sheet1.
The bad: With the given constraint solver can not find a solution that satisfies all given constraints.

On Sheet2 I've set up another solver solution but even if this gives a solution meeting the constraints I'm not sure the team will be able to play any basketball
after every one of them have had 3,5 pound of foodstuff for lunch. On the other hand I may be wrong. If solver assumes the dried beans to be "Mexican jumping beans"
then perhaps this will work in the teams favor.

Alf

Thank you so much Alf!

The answer on sheet 2 seems right. I really appreciate your help!!

You are welcome and thanks for feedback.

Alf