Chapter P, Problem 46PS

A hospital wishes to provide for its patients a diet that has a minimum of 100 g of carbohydrates, 60 g of protein, and 40 g of fats per day. These requirements can be met with two foods:

Food	Carbohydrates	Protein	Fats
A	$6\text{g/oz}$	$3\text{g/oz}$	$1\text{g/oz}$
B	$2\text{g/oz}$	$2\text{g/oz}$	$2\text{g/oz}$

It is also important to minimize costs; food A costs $0.14 per ounce and food B costs $0.06 per ounce. How many ounces of each food should be bought for each patient per day to meet the minimum daily requirements at the lowest cost?