You are making 8 ounce cans of dog food. Each can has to have at least 1 ounce o
ID: 462708 • Letter: Y
Question
You are making 8 ounce cans of dog food. Each can has to have at least 1 ounce of BEEF, 2 ounces of SOY, and 2 ounces of PORK. Beef costs 4.80 per pound. Soy costs 1.60 per pound. Pork costs 3.20 per pound. Each ounce of beef has 4 units of protein and 75 calories. Each ounce of soy has 2 units of protein and 25 calories. Each ounce of pork has 3 units of protein and 50 calories. Each can has to have at least 25 units of protein and no more than 450 calories. There are 16 ounces In a pound. Write equations or make an excel sheet on the paper.Explanation / Answer
Beef
Soy
Pork
Price per ounce
0.3
0.1
0.2
Proteins per Can of 8 ounces
4
2
3
Calories
75
25
50
Decision Variables (in ounces)/can
Beef
Soy
Pork
3.5
2.5
2
Constraints
Proteins per Can
25
>=
25
Calories per Can
425
<=
450
Can Weight
8
=
8
Beef content ounces/can
3.5
>=
1
soy content ounces/can
2.5
>=
2
Pork content ounces/can
2
>=
2
Objective Function (Cost per Can)
1.7
Beef
Soy
Pork
Price per ounce
0.3
0.1
0.2
Proteins per Can of 8 ounces
4
2
3
Calories
75
25
50
Decision Variables (in ounces)/can
Beef
Soy
Pork
3.5
2.5
2
Constraints
Proteins per Can
25
>=
25
Calories per Can
425
<=
450
Can Weight
8
=
8
Beef content ounces/can
3.5
>=
1
soy content ounces/can
2.5
>=
2
Pork content ounces/can
2
>=
2
Objective Function (Cost per Can)
1.7
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