Question

A dietitian wishes to plan a meal around three foods. The meal is to include 7,200 units of vitamin A, 2,700 units of vitamin C, and 900 units of calcium. The number of units of the vitamins and calcium in each ounce of the foods is summarized in the following table.

	Food I	Food II	Food III
Vitamin A	400	1200	800
Vitamin C	110	570	340
Calcium	90	30	60

Determine the amount of each food the dietitian should include in the meal in order to meet the vitamin and calcium requirements. (Let x, y, and z denote the number of ounces of Food I, Food II, and Food III, respectively. If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.)

(x, y, z) = ______   

Answer 1