Answer:
(A) 73 ounces of diary-based meal and 28.8 ounces of the vegan option.
(B) The minimum cost per day is [73 × 0.21] + [28.8 × 0.27] = 15.33 + 7.776 = $23.106
Explanation:
First thing to note is that the dairy-based meal costs less than the vegan option. In otherwords, if you're to minimize cost, you should purchase as many ounces of dairy-based meal as possible. This is the first mindset or step.
What the diet should contain everyday:
3640mg - Vitamin C
2190mg - Calcium
2170 - Calories
DAIRY BASED:
(40 × 91 = 3640), (30 × 73 = 2190), (10 × 217 = 2170)
VEGAN OPTION:
(60 × 60.67 = 3640), (30 × 73 = 2190), (50 × 43.4 = 2170)
Getting 73 ounces of dairy-based meal, you have
(40 × 73), (30 × 73), (10 × 73) = 2920mg, 2190mg, 730 calories.
You have left 720mg of Vitamin C and 1440 calories to obtain from the Vegan Option.
(60 × 12 = 720), (30 × 0 = 0), (50 × 28.8 = 1440)
The highest quantity needed here is 28.8 ounces of calories from the vegan option, hence 28.8 ounces of the vegan meal should be purchased. There will be excesses of Vitamin C and Calcium but that is necessary in order to purchase the stipulated minimum amount of each nutrient.
The minimum cost per day will now be [73 × 0.21] + [28.8 × 0.27] = 15.33 + 7.776 = $23.106
