Lisa lives out in the country with her seven cats and avoids driving into the bi

Question

Lisa lives out in the country with her seven cats and avoids driving into the big city as much as possible. She has decided to make her own cat food and has the following nutritional guidelines. Each four ounce portion must contain 20 units of protein, 15 units of vitamin A, and 10 units of vitamin B. She has eggs, tomatoes, and chicken meat as possible inputs to her cat food. Each ounce of eggs contains 5 units of protein, 4 units of Vitamin A, and 3 units of Vitamin B. Each ounce of tomatoes contains 1 unit of protein, 5 units of Vitamin A, and 14 units of Vitamin B. Each ounce of chicken contains 22 units of protein, 14 units of Vitamin A, and 5 units of Vitamin B. Chicken costs 40 cents per ounce, tomatoes cost 8 cents per ounce, and eggs cost 12 cents per ounce.


What is an appropriate constraint for this scenario?

4*Eggs + 5*Tomatoes + 14*Chicken 15

.12*Egg + .5*Tomato + .4*Chicken 4

22*Protein + 15*VitaminA + 8*VitaminB 8

22*Protein + 15*VitaminA + 8*VitaminB 4

4*Eggs + 5*Tomatoes + 14*Chicken 15

.12*Egg + .5*Tomato + .4*Chicken 4

22*Protein + 15*VitaminA + 8*VitaminB 8

22*Protein + 15*VitaminA + 8*VitaminB 4

Explanation / Answer

Let eggs means total ounce of egg and tomatoes and chicken means respectively

for Vitamin A:

egg contain 4 unit vitamin A

Tomato contain 5 unit vitamin A

Chicken contain 14 unit vitamin A

Total required vitamin A = 15 units

So: 4*Eggs + 5*Tomatoes + 14*Chicken 15 is appropriate constraint for vitamin A requirment

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