Question

Gerber Banana Plum Granola costs $0.89 per 5.5-oz serving; each serving contains 140 calories, 31 g of carbohydrates, and 0% of the recommended daily allowance of vitamin C. Gerber Mixed Fruit Carrot Juice costs $0.79 per 4-oz serving; each serving contains 60 calories, 13 g of carbohydrates, and 100% of the recommended daily allowance of vitamin C. Determine how many servings of each of the above foods would be needed to provide a child at least 160 calories, 40 g of carbohydrates, and 70% of the recommended daily allowance of vitamin C at minimum cost. Fractions of servings are permitted.

Answer 1

if we have
x servings of granola
y servings of juice

we want to minimize

c = .89x + .79y subject to
140x + 60y >= 160
31x + 13y >= 40
0x + 100y >= 70

x=1
y=0.7
c=1.44