ineedhelpp
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- Oct 20, 2019
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Excel Solver question:
The University of Western Football Team has hired a dietician from a big name
American school to develop a nutritious lunch menu for the team. After consulting with Canada’s Food Guide and other sources, the dietician has determined that each lunch serving should have:
Between 1,500 and 2,000 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, and
No more than 30 mg of cholesterol.
The dietician selects the menu from the seven basic food items shown below. The nutritional contribution of each, along with their unit cost is given in the following table:
[TABLE="width: 671"]
<tbody>[TR]
[TD]
[/TD]
[TD]Calories (per lb)
[/TD]
[TD]Iron (mg / lb)
[/TD]
[TD]Protein
(g / lb)
[/TD]
[TD]Carbohydrates
(g / lb)
[/TD]
[TD]Fat
(g / lb)
[/TD]
[TD]Cholesterol (mg / lb)
[/TD]
[TD]Cost
($ / lb)
[/TD]
[/TR]
[TR]
[TD]Chicken
[/TD]
[TD]520
[/TD]
[TD]4.4
[/TD]
[TD]17
[/TD]
[TD]0
[/TD]
[TD]30
[/TD]
[TD]180
[/TD]
[TD]0.80
[/TD]
[/TR]
[TR]
[TD]Fish
[/TD]
[TD]500
[/TD]
[TD]3.3
[/TD]
[TD]85
[/TD]
[TD]0
[/TD]
[TD]5
[/TD]
[TD]90
[/TD]
[TD]3.70
[/TD]
[/TR]
[TR]
[TD]Ground Beef
[/TD]
[TD]860
[/TD]
[TD]0.3
[/TD]
[TD]82
[/TD]
[TD]0
[/TD]
[TD]75
[/TD]
[TD]350
[/TD]
[TD]2.30
[/TD]
[/TR]
[TR]
[TD]Dried Beans
[/TD]
[TD]600
[/TD]
[TD]3.4
[/TD]
[TD]10
[/TD]
[TD]30
[/TD]
[TD]3
[/TD]
[TD]0
[/TD]
[TD]0.90
[/TD]
[/TR]
[TR]
[TD]Lettuce
[/TD]
[TD]50
[/TD]
[TD]0.5
[/TD]
[TD]6
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[TD]0.75
[/TD]
[/TR]
[TR]
[TD]Potatoes
[/TD]
[TD]460
[/TD]
[TD]2.2
[/TD]
[TD]10
[/TD]
[TD]70
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[TD]0.40
[/TD]
[/TR]
[TR]
[TD]Milk (2%)
[/TD]
[TD]240
[/TD]
[TD]0.2
[/TD]
[TD]16
[/TD]
[TD]22
[/TD]
[TD]10
[/TD]
[TD]20
[/TD]
[TD]0.83
[/TD]
[/TR]
</tbody>[/TABLE]
Develop a menu (number of pounds of food of given types) that meets all of the nutritional requirements but does so at least cost.
Clearly indicate your decision variables, your objective function, and constraints.
Does anyone know how to go about creating this menu using Solver on excel? Really confused as to where to start and any help would be great. Thank you!
The University of Western Football Team has hired a dietician from a big name
American school to develop a nutritious lunch menu for the team. After consulting with Canada’s Food Guide and other sources, the dietician has determined that each lunch serving should have:
Between 1,500 and 2,000 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, and
No more than 30 mg of cholesterol.
The dietician selects the menu from the seven basic food items shown below. The nutritional contribution of each, along with their unit cost is given in the following table:
[TABLE="width: 671"]
<tbody>[TR]
[TD]
[/TD]
[TD]Calories (per lb)
[/TD]
[TD]Iron (mg / lb)
[/TD]
[TD]Protein
(g / lb)
[/TD]
[TD]Carbohydrates
(g / lb)
[/TD]
[TD]Fat
(g / lb)
[/TD]
[TD]Cholesterol (mg / lb)
[/TD]
[TD]Cost
($ / lb)
[/TD]
[/TR]
[TR]
[TD]Chicken
[/TD]
[TD]520
[/TD]
[TD]4.4
[/TD]
[TD]17
[/TD]
[TD]0
[/TD]
[TD]30
[/TD]
[TD]180
[/TD]
[TD]0.80
[/TD]
[/TR]
[TR]
[TD]Fish
[/TD]
[TD]500
[/TD]
[TD]3.3
[/TD]
[TD]85
[/TD]
[TD]0
[/TD]
[TD]5
[/TD]
[TD]90
[/TD]
[TD]3.70
[/TD]
[/TR]
[TR]
[TD]Ground Beef
[/TD]
[TD]860
[/TD]
[TD]0.3
[/TD]
[TD]82
[/TD]
[TD]0
[/TD]
[TD]75
[/TD]
[TD]350
[/TD]
[TD]2.30
[/TD]
[/TR]
[TR]
[TD]Dried Beans
[/TD]
[TD]600
[/TD]
[TD]3.4
[/TD]
[TD]10
[/TD]
[TD]30
[/TD]
[TD]3
[/TD]
[TD]0
[/TD]
[TD]0.90
[/TD]
[/TR]
[TR]
[TD]Lettuce
[/TD]
[TD]50
[/TD]
[TD]0.5
[/TD]
[TD]6
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[TD]0.75
[/TD]
[/TR]
[TR]
[TD]Potatoes
[/TD]
[TD]460
[/TD]
[TD]2.2
[/TD]
[TD]10
[/TD]
[TD]70
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[TD]0.40
[/TD]
[/TR]
[TR]
[TD]Milk (2%)
[/TD]
[TD]240
[/TD]
[TD]0.2
[/TD]
[TD]16
[/TD]
[TD]22
[/TD]
[TD]10
[/TD]
[TD]20
[/TD]
[TD]0.83
[/TD]
[/TR]
</tbody>[/TABLE]
Develop a menu (number of pounds of food of given types) that meets all of the nutritional requirements but does so at least cost.
Clearly indicate your decision variables, your objective function, and constraints.
Does anyone know how to go about creating this menu using Solver on excel? Really confused as to where to start and any help would be great. Thank you!