A farmer can buy four types of plant food. Each barrel of mix A contains 30 pounds of phosphoric acid, 50 pounds of nitrogen, and 20 pounds of potash; each barrel of mix 8 contains 30 pounds ofphosphoric acid, 75 pounds of nitrogen, and 30 pounds of potash; each barrel of mix C contains 30 pounds of phosphoric acid, 25 pounds of nitrogen, and 30 pounds of potash; and each barrel ofmix D contains 60 pounds of phosphoric acid, 25 pounds of nitrogen, and 50 pounds of potash. Soll tests indicate that a particular field needs 1,050 pounds of phosphoric acid, 925 poundsof nitrogen, and 950 pounds of potash. How many barrels of each type of food should the farmer mix together to supply the necessary nutrients for the field?Letx, be the number of barrels of Mix A x₂ be the number of barrels of Mix B, x, be the number of barrels of Mix C, and x, be the number of barrels of Mix D. Select the correct choice below and,if necessary, in the answer boxes to complete your choice.OA The unique solution is x,X₂= and x(Simplify your answer)OB. There are multiple combinations of how the barrels should be filled. The combinations are obtated from the equations x, 5(Simplify your answer. Type an expression using t as the variable.)C. There is no solution.and xt forSIS

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Answered: A farmer can buy four types of plant…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Gerber Mixed Cereal for Baby contains, in each serving, 60 calories, no Vitamin C, and 11 grams of carbohydrates. Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories, 45% of the RDA of Vitamin C for infants, and 21 grams of carbohydrates. Gerber Apple Banana Juice contains, in each serving, 60 calories, 120% of the RDA of Vitamin C for infants, and 15 grams of carbohydrates.t Assume that the cereal costs 11¢ per serving, the dessert costs 50c per serving, and the juice costs 30c per serving. If you want to provide your child with at least 240 calories, at least 120% of the RDA of Vitamin C, and at least 48 grams of carbohydrates, how can you do so at the least cost? | serving(s) | serving(s) Gerber Mixed Cereal for Baby Gerber Mango Tropical Fruit Dessert Gerber Apple Banana Juice serving(s)
Lawnco produces three grades of commercial fertilizers. A 100-lb bag of grade A fertilizer contains 18 lb of nitrogen, 4 lb of phosphate and 5 lb of potassium. A 100-lb bag of grade B fertilizer contains 20 lb of nitrogen and 4 lb each of phosphate and potassium. A 100-lb bag of grade C fertilizer contains 24 lb of nitrogen, 3 lb of phosphate, and 6 lb of potassium. How many 100-lb bags of each of the three grades of fertilizers should Lawnco produce if the following is true? (a) 44,400 lb of nitrogen, 8,300 lb of phosphate, and 10,600 lb of potassium are available and all the nutrients are used. grade A fertilizer bags grade B fertilizer bags grade C fertilizer bags (b) 29,800 lb of nitrogen, 5,800 lb of phosphate, and 6,900 lb of potassium are available and all the nutrients are used. grade A fertilizer bags grade B fertilizer bags grade C fertilizer bags
A tobacco shop blends Cuban, American and Columbian tobaccos into three aromatic house mixtures. A packet of Ruff has 6 ounces Cuban, 4 ounce American, and 14 ounces Columbian; Buff has 3 ounces Cuban, 1 ounce American, and 2 ounces Columbian; Tuff has 4 ounces Cuban, 2 ounces American, and 8 ounces Columbian. If Ruff sells for $8.00, Buff for $10.00 and Tuff for $16.00 per packet and if there are 32 ounces of Cuban, 10 ounces of American, and 72 ounces of Columbian on hand. Find the amount of Ruff, Buff and Tuff that should be blended to maximize profit from the tobacco on hand. Set up to solve this problem by:a) Defining all variables usedb) Stating the objective and listing the objective function.c) Stating ALL the constraints.
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A cat breeder has the following amounts of cat food: 120 units of tuna, 110 units of liver, and 70 units of chicken. To raise a Siamese cat, the breeder must use 3 units of tuna, 2 of liver, and 2 of chicken, while raising a Persian cat requires 2, 1 and 3 units respectively per day. If a Siamese cat sells for $13, and a Persian cat sells for $14, how many of each should be raised in order to obtain maximum gross income? Set up the initial simplex tableau. ** Set up the initial simplex tableau for the problem. Let x, be the number of Siamese cats, and let x₂ be the number of Persian cats. Begin by filling in missing terms for constraints. 3x₁ + 2x₂ 5 is the constraint on tuna consumption. 2x₁ + x₂ is the constraint on liver consumption. 2x, +3x₂ s chicken consumption. is the constraint on

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