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A farmer can buy four types of plant food. Each barel of mix A contains 35 pounds of phosphoric acid, 50 pounds of nitrogen, and 30 pounds of potash; each barrel of mix B contains 30 pounds of phosphoric acid, 75 pounds of nitrogen, and 20 pounds of potash each barel of max C contains 30 pounds of phosphoric acid, 25 pounds of nitrogen, and 20 pounds of potash; each barrel of mix D contains 125 pounds of phosphoric acid, 75 pounds of nitrogen, and 90 pounds of potash. Soil tests indicate that a particular field needs 1,490 pounds of phosphoric acid, 1,200 pounds of nitrogen, and 1,060 pounds of potash. There are multiple solutions to the number of barrels of each type of food that could be mixed together to supply the necessary nutrients for the field. The solutions can be expressed as (10-1) bameis of mix A (-5) bamels of mix B. (43-4) barrels of mix C. and 1 barels of mix D, where t is an integer satisfying 5sts 10. The costs of the four mixes are Mix A. $37, Mix B. 589, Mx C, 557, Mix D, $63. Which of the solutions to the problem of supplying the correct nutrients would minimize the cost of the plant food? Let the variables, represent the number of barrels of mixture A. x, represent the number of banels of modure 8, x, represent the number of barels of mixture C and x, represent the number of barrels of mixture D. Write the equation that can be used to find the cost C in terms of the variables x, through x 0 (Do not include the $ symbol in your an)

A farmer can buy four types of plant food. Each barel of mix A contains 35 pounds of phosphoric acid, 50 pounds of nitrogen, and 30 pounds of potash; each barrel of mix B contains 30 pounds of phosphoric acid, 75 pounds of nitrogen, and 20 pounds of potash each barel of max C contains 30 pounds of phosphoric acid, 25 pounds of nitrogen, and 20 pounds of potash; each barrel of mix D contains 125 pounds of phosphoric acid, 75 pounds of nitrogen, and 90 pounds of potash. Soil tests indicate that a particular field needs 1,490 pounds of phosphoric acid, 1,200 pounds of nitrogen, and 1,060 pounds of potash. There are multiple solutions to the number of barrels of each type of food that could be mixed together to supply the necessary nutrients for the field. The solutions can be expressed as (10-1) bameis of mix A (-5) bamels of mix B. (43-4) barrels of mix C. and 1 barels of mix D, where t is an integer satisfying 5sts 10. The costs of the four mixes are Mix A. $37, Mix B. 589, Mx C, 557, Mix D, $63. Which of the solutions to the problem of supplying the correct nutrients would minimize the cost of the plant food? Let the variables, represent the number of barrels of mixture A. x, represent the number of banels of modure 8, x, represent the number of barels of mixture C and x, represent the number of barrels of mixture D. Write the equation that can be used to find the cost C in terms of the variables x, through x 0 (Do not include the $ symbol in your an)

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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K A farmer can buy four types of plant food. Each barrel of mix A contains 35 pounds of phosphoric acid, 50 pounds of nitrogen, and 30 pounds of potash; each barrel of mix B contains 30 pounds of t phosphoric acid, 75 pounds of nitrogen, and 20 pounds of potash; each barrel of mix C contains 30 pounds of phosphoric acid, 25 pounds of nitrogen, and 20 pounds of potash; each barrel of mix D contains 125 pounds of phosphoric acid, 75 pounds of nitrogen, and 90 pounds of potash. Soil tests indicate that a particular field needs 1,490 pounds of phosphoric acid, 1,200 pounds of nitrogen, and 1,060 pounds of potash. There are multiple solutions to the number of barrels of each type of food that could be mixed together to supply the necessary nutrients for the field. The solutions can be expressed as (10-1) barrels of mix A (-5) barrels of mix B. (43-4t) barrels of mix C, and t barrels of mix D, where t is an integer satisfying 5sts 10. The costs of the four mixes are Mix A, $37, Mix B, 569, Mx C, $57, Mix D, $63. Which of the solutions to the problem of supplying the correct nutrients would minimize the cost of the plant food? Let the variables, represent the number of bamels of mixture A, x, represent the number of barrels of mixture 8, x, represent the number of barrels of mixture C and x, represent the number of barrels of mixture D. Write the equation that can be used to find the cost C in terms of the variables x, through (Do not include the $ symbol in your answer)
Transcribed Image Text:K A farmer can buy four types of plant food. Each barrel of mix A contains 35 pounds of phosphoric acid, 50 pounds of nitrogen, and 30 pounds of potash; each barrel of mix B contains 30 pounds of t phosphoric acid, 75 pounds of nitrogen, and 20 pounds of potash; each barrel of mix C contains 30 pounds of phosphoric acid, 25 pounds of nitrogen, and 20 pounds of potash; each barrel of mix D contains 125 pounds of phosphoric acid, 75 pounds of nitrogen, and 90 pounds of potash. Soil tests indicate that a particular field needs 1,490 pounds of phosphoric acid, 1,200 pounds of nitrogen, and 1,060 pounds of potash. There are multiple solutions to the number of barrels of each type of food that could be mixed together to supply the necessary nutrients for the field. The solutions can be expressed as (10-1) barrels of mix A (-5) barrels of mix B. (43-4t) barrels of mix C, and t barrels of mix D, where t is an integer satisfying 5sts 10. The costs of the four mixes are Mix A, $37, Mix B, 569, Mx C, $57, Mix D, $63. Which of the solutions to the problem of supplying the correct nutrients would minimize the cost of the plant food? Let the variables, represent the number of bamels of mixture A, x, represent the number of barrels of mixture 8, x, represent the number of barrels of mixture C and x, represent the number of barrels of mixture D. Write the equation that can be used to find the cost C in terms of the variables x, through (Do not include the $ symbol in your answer)
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