1. 2. It takes 12 units of carboyhydrates and 6 units of protein to satisfy Andre's minimum weekly requirements. The meat contains 2 units of carbohydrates and 2 units of protein per pound. The cheese contains 3 units of carbohydrates and 1 unit of protein per pound. The meat costs $3.50 and the cheese costs $4.70/pound. Find how many pounds of each are needed to fulfill the minimum requirements at minimum cost. _____pounds of meat _____pounds of cheese 3. Cabinet X costs $75, requires 15 sq ft of floor space, and holds 45 cu ft of files. Cabinet Y costs $90, requires 9 sq ft of floor space, and holds 36 cu ft. To get maximum storage, how many of each should be purchased with a budget limit of $900 and floor space of 135 sq ft? The manager should buy _____ of cabinet X and _____ of cabinet Y. 4. Use graphical methods to solve the linear programming problem. Maximize: z=5x+3y Subject to: x - y5 18x+13y 234 15x+20y300 X0 Y0 The maximum is _____ when x=_____ and y=_____ 5. An appliance store sells two brands of television sets: Nitebrite and Solar II. Each Nitebrite sells for $440 and each Solar II sells for $500. The store's warehouse capacity for television sets is 500, and new sets are delivered only once a month. Past records show that customers will buy at least 100 Nitebrite sets and 130 Solar II sets each month. Let x represent the number of Nitebrites and y represent the number of Solar II sets sold each month. Find the constraints for number of sets. The constraints are as follows. X + y _____ X _____, y _____