A nutritionist is performing an experiment on student volunteers. She wants to
feed one of the volunteers a daily diet that consists of a combination of three
commercial diet foods: MiniCal, LiquiFast, SlimQuick. For the experiment, it is
important that the volunteer consume a total of exactly 500 of potassium, 75g of
protein, and 1150 IU of vitamin D every day. The amounts of these nutrients in one
ounce of each diet food are given in the table. How many ounces of each food
should the volunteer eat every day to satisfy the nutrient requirements exactly?
Potassium (mg)
Protein (g)
vitamin D (IU)
MiniCal (1 ounce)
50
5
90
LiquiFast (1 ounce)
75
10
100
SlimQuick (1 ounce)
10
3
50