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,...

Extracted text: 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 eacl 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? MiniCal (1 ounce) LiquiFast (1 ounce) SlimQuick (1 ounce) Potassium (mg) 50 75 10 Protein (g) 10 3 vitamin D (IU) 90 100 50 Solve the system algebraically or use the rref in your graphing calculator to find the amount of ounces of each food needed to satisfy the nutrient requirements.