Linear Programming WS II ANS

Hs Algebra II Li...ar Programming Word Problems Worksheet II 1) You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires six square feet of floor space, and hotiis elght cubic feet of files. Cabinet Y costs $20 per unit, requires eight square feet of floor space, and holds twelve.cubic feer of files. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. How many of which model should you buy, in order to maximize storage volun C: 20q <= 140 phi_{g} deg <= - l * os + 140 (0,0) (6.7) 29 y <= - 3y + 7 (1)96 for spore: 4x + 8y = 72 3100 8y = - 4x + 72 y / (- - 3/4) * r + 9 Mare volum: 0R ^ 2 8-Cabinet X 2) 3-C A snack bar cooks and sells hamburgers and hot dogs during football games. To stay in business, it must sell at least 10 hamburgers but can not esok more than 40. It must also sell at least 30 hot dogs, but can not cook more than 70. The snack bar can not cook more than 90 items total. The profit on a hamburger is 33 cents, and the profit on a hot dog is 21 cents. Low many of each item should it sell to make the maximum profit? 43 13 (3) 1.33x2ly 7.60 (4pi, 3pi) (40,6) 19.50 19,00 y z - x + 90 (20,76) (10,70) 60 80 105 Hamburgers 1 2 50 hatdags $2370 3) In order to ensure optimal health (and thus accurate test results), a lab technician needs to feed the rabbits a daily diet containing a minimum of 24 grams (g) of fat, 36 g of carbohydrates, and 4 g of protein. But the rabbits should be fed no more than five ounces of food a day. Rather than order rabbit food that is custom- blended, it is cheaper to order Food X and Food Y, and blend them for an optimal mix. Food X contaime8 g of fat 12 g of carbohydrates, and 2 g of protein per ounce, and costs 50.20 per ounce. Food Y contains 12 g of fat 12 g of carbohydrates, and 1 g of protein per ounce, at a cost of $0.30 per ounce. What is the optimal blend of Food X and Food Y? amnest xty £5 (20x304 122-88124 (05) 1.5 22 (12) (30) 60 20 1242-124-36 2-x+3 19.9) 1 prikia 2x+ y 24 -2x14 y5 tobd Min Cost: $60 302 Brand X only Darks 45 Food X 4) You are about to take a test that contains questions of type A worth 4 points and type B worth 7 points. You must answer at least 4ftype Aland 3 of type B, but time restricts answering more than 10 af either type In total, you can answer no more than 18. How many of each type of question must you answer, assuming all of your answers are correct, to maximize your score? What is your maximum score? 7 (10,3) 61 359510 (4,3) 37 (4,10) 86 (8,16) 102 (10,8) 96 Tupe A Marx Save: 102 8 Type A 10 Type B