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8 One bag of "Fertilizer A" contains 2 units of phosphorus, 5 units of nitrogen, and 3 units of potassium. One bag of "Fertilizer B" contains 3 units of phosphorus, 4 units of nitrogen, and 6 units of potassium. One bag of "Fertilizer C" contains 5 units of phosphorus, 3 units of nitrogen, and 4 units of potassium. A gardener needs to apply at least 75 units of phosphorus, at least 95 units of nitrogen, and at least 80 units of potassium. The price of one bag is $6 for Fertilizer A, $5 for Fertilizer B, and $8 for Fertilizer C. does to br (a) formulate the problem and use the simplex method to determine how many bags of each fertilizer the gardener should purchase in order to meet the above requirements for the lowest possible price; note that the answers must be positive integers +8₂ minimize P=6x +54 5y subject to: 2x +34 +5₂ 215 led 5x + 4y +32 = 95 3x +by +4₂ ≥ 80 dai ribuno (s) eq ni of banaten

8 One bag of "Fertilizer A" contains 2 units of phosphorus, 5 units of nitrogen, and 3 units of potassium. One bag of "Fertilizer B" contains 3 units of phosphorus, 4 units of nitrogen, and 6 units of potassium. One bag of "Fertilizer C" contains 5 units of phosphorus, 3 units of nitrogen, and 4 units of potassium. A gardener needs to apply at least 75 units of phosphorus, at least 95 units of nitrogen, and at least 80 units of potassium. The price of one bag is $6 for Fertilizer A, $5 for Fertilizer B, and $8 for Fertilizer C. does to br (a) formulate the problem and use the simplex method to determine how many bags of each fertilizer the gardener should purchase in order to meet the above requirements for the lowest possible price; note that the answers must be positive integers +8₂ minimize P=6x +54 5y subject to: 2x +34 +5₂ 215 led 5x + 4y +32 = 95 3x +by +4₂ ≥ 80 dai ribuno (s) eq ni of banaten

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.1: Ratios And Rates
Problem 40E
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8 One bag of "Fertilizer A" contains 2 units of phosphorus, 5 units of nitrogen, and 3 units of potassium. One bag of "Fertilizer B" contains 3 units of phosphorus, 4 units of nitrogen, and 6 units of potassium. One bag of "Fertilizer C" contains 5 units of phosphorus, 3 units of nitrogen, and 4 units of potassium. A gardener needs to apply at least 75 units of phosphorus, at least 95 units of nitrogen, and at least 80 units of potassium. The price of one bag is $6 for Fertilizer A, $5 for Fertilizer B, and $8 for Fertilizer C. ni (a) formulate the problem and use the simplex method to determine how many bags of each fertilizer the gardener should purchase in order to meet the above requirements for the lowest possible price; note that the answers must be positive integers niur minimize P=6x +54 +8₂ subject to: 2x +34 15₂2 15 + 5x + 4y +32 = 95 3x +by +4₂2 80 Teeneinl al ribu 2 Write the answer in the box below (b) what is that minimum total price? uisi leevetni launns Write the answer in the box below P=131 (6) sq ni of barsten towans will elity Desovods show world 10252 is no themys Virtnomalar OM wolod xod-at-ni-slu en will ex (c) if all fertilizer is used and applied to the soil in the garden, then will excess amounts of any. one of the essential substances (phosphorus, nitrogen, potassium) be applied? if so, which one(s) and in what amount(s)? woled xod bril ni
Transcribed Image Text:8 One bag of "Fertilizer A" contains 2 units of phosphorus, 5 units of nitrogen, and 3 units of potassium. One bag of "Fertilizer B" contains 3 units of phosphorus, 4 units of nitrogen, and 6 units of potassium. One bag of "Fertilizer C" contains 5 units of phosphorus, 3 units of nitrogen, and 4 units of potassium. A gardener needs to apply at least 75 units of phosphorus, at least 95 units of nitrogen, and at least 80 units of potassium. The price of one bag is $6 for Fertilizer A, $5 for Fertilizer B, and $8 for Fertilizer C. ni (a) formulate the problem and use the simplex method to determine how many bags of each fertilizer the gardener should purchase in order to meet the above requirements for the lowest possible price; note that the answers must be positive integers niur minimize P=6x +54 +8₂ subject to: 2x +34 15₂2 15 + 5x + 4y +32 = 95 3x +by +4₂2 80 Teeneinl al ribu 2 Write the answer in the box below (b) what is that minimum total price? uisi leevetni launns Write the answer in the box below P=131 (6) sq ni of barsten towans will elity Desovods show world 10252 is no themys Virtnomalar OM wolod xod-at-ni-slu en will ex (c) if all fertilizer is used and applied to the soil in the garden, then will excess amounts of any. one of the essential substances (phosphorus, nitrogen, potassium) be applied? if so, which one(s) and in what amount(s)? woled xod bril ni
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