# AMPL Model file for the diet problem

set NUTR;	# The nutrients
set FOOD;	# The food items available

param cost {FOOD} >= 0;	                	# The cost of one unit of each food item
param rda_min {NUTR} default 0;	        	# Minimum RDA for each nutrient (milligrams)
param amt {NUTR,FOOD} >= 0;             	# The milligrams of nutrient in one unit of food

var Buy {j in FOOD} >= 0;			# Number of units of each food item to buy


minimize Total_Cost:  sum {j in FOOD} cost[j] * Buy[j];
subject to Diet {i in NUTR}:
   rda_min[i] <= sum {j in FOOD} amt[i,j] * Buy[j];