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,assume that an optimal serving contains 0.89 ounces of chicken and 0.52 ounces of tomatoes.Which of the following statements is BEST?
A)The serving costs about 20 cents.
B)The serving costs about 30 cents
C)The serving costs about 40 cents.
D)The serving costs about 50 cents.

Question

Quizplus · Accepted Answer

First, we need to calculate how much of each nutrient is in the optimal serving:
- Protein: (0.89 ounces of chicken x 22 units of protein per ounce) + (0.52 ounces of tomatoes x 1 unit of protein per ounce) = 20.78 units of protein
- Vitamin A: (0.89 ounces of chicken x 14 units of Vitamin A per ounce) + (0.52 ounces of tomatoes x 5 units of Vitamin A per ounce) = 19.38 units of Vitamin A
- Vitamin B: (0.89 ounces of chicken x 5 units of Vitamin B per ounce) + (0.52 ounces of tomatoes x 14 units of Vitamin B per ounce) = 15.77 units of Vitamin B

The optimal serving meets all the required nutritional guidelines. Now, we need to calculate the cost of the optimal serving:
- Cost of chicken: 0.89 ounces x $0.40 per ounce = $0.36
- Cost of tomatoes: 0.52 ounces x $0.08 per ounce = $0.04
- Cost of eggs (which we did not use): 0.59 ounces x $0.12 per ounce = $0.07
- Total cost: $0.36 + $0.04 + $0.07 = $0.47

Therefore, the closest choice is C) The serving costs about 40 cents.

Scenario D.1 Lisa Lives Out in the Country with Her Seven Cats