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Mon 5 Nov, 2007 07:30 am
the number of units of carbohydrates, proteins and fats per kilogram of food x and food y are show in the table
-------------carbohydrates ------- proteins ------- fats
food x --------- 5 ------------------------- 3 -------------- 5
food y --------- 2 ------------------------- 2 -------------- 1
suppose that a person need a minimun of 60 units of carbohydrates. 40 units of proteins and 35 units of fats per week. Food x cost $18 per kilogram and food y cost $12 per kilogram. suppose that a certain person has alloted at most $200 per week for food x and food y. find a system of inequalities tat describes the possible number of kilograms of each product he can buy to meet his minimum requirements.
5x + 2y >= 60
3x + 2y >= 40
5x + y >= 35
0 =< 18x + 12y =< 200