Scenario D.1 Lisa lives out in the country with her seven cats and avoids drivin

Question

Scenario D.1
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.


Referring to Scenario D.1, 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

Thus Option A is correct

Each 4 Ounce portion should contain Costs Protein Vitamin A Vitamin B Chicken Tomato eggs 20 15 10 0.4 0.08 0.12 Each 1 Ounce portion should contain cent/ounce cent/ounce cent/ounce Protein Vitamin A Vitamin B 5 3.75 2.5 Each Ounce of Egg contains Protein Vitamin A Vitamin B 5 4 3 Each ounce of Tomato contain Protein Vitamin A Vitamin B 1 5 14 Each ounce of Chicken contains Protein Vitamin A Vitamin B 22 14 5 LPP is Min Cost Z=0.4*Chicken+0.08*Tomato+0.12*Eggs Subject to constraints 22*Chicken+1*Tomato+5*Egg >= 5 Protein Constraint 14*Chicken+5*Tomato+4*Egg >= 3.75 Vitamin A constraint 5*Chicken+14*Tomato+3*Egg >= 2.5 Vitamin B Constraint

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