A special diet for a patient in the hospital must have at least 8000 units of
vitamins, 100 units of minerals and 2800 units of calories. Two types of foods X and
Y are available in the market at the cost of #8 and #6 respectively. One unit of X
contains 40 units of vitamins, 2 units of minerals and 80 units of calories. One unit of
food B contains 200 units of vitamins, 4 units of minerals and 80 units of calories.
What combination of foods X and Y be used so that the minimum requirement of
vitamins, minerals and calories is maintained and the cost incurred by the hospital is
minimized? Use simplex method.