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A rancher is mixing two types of foods, Brand X and Brand Y, for his cattle. Each serving for cattle is required to have 360 grams of protein and 360 grams of fat. Brand X has 5 grams of protein and 10 grams of fat. Brand Y has 10 grams of protein and 5 grams of fat. Rancher has found that Brand X costs $3.5 and brand Y costs $5 per unit. Find out how much of each type should be used by the rancher to minimize cost. Keep in mind that the rancher has to buy at least one unit of each brand. Moreover, the number of brand X has to be twice the number of brand Y. (Possible Answer: $216)

A rancher is mixing two types of foods, Brand X and Brand Y, for his cattle. Each serving for cattle is required to have 360 grams of protein and 360 grams of fat. Brand X has 5 grams of protein and 10 grams of fat. Brand Y has 10 grams of protein and 5 grams of fat. Rancher has found that Brand X costs $3.5 and brand Y costs $5 per unit. Find out how much of each type should be used by the rancher to minimize cost. Keep in mind that the rancher has to buy at least one unit of each brand. Moreover, the number of brand X has to be twice the number of brand Y. (Possible Answer: $216)

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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A rancher is mixing two types of foods, Brand X and Brand Y, for his cattle. Each serving for cattle is required to have 360 grams of protein and 360 grams of fat. Brand X has 5 grams of protein and 10 grams of fat. Brand Y has 10 grams of protein and 5 grams of fat. Rancher has found that Brand X costs $3.5 and brand Y costs $5 per unit. Find out how much of each type should be used by the rancher to minimize cost. Keep in mind that the rancher has to buy at least one unit of each brand. Moreover, the number of brand X has to be twice the number of brand Y. (Possible Answer: $216)
Transcribed Image Text:A rancher is mixing two types of foods, Brand X and Brand Y, for his cattle. Each serving for cattle is required to have 360 grams of protein and 360 grams of fat. Brand X has 5 grams of protein and 10 grams of fat. Brand Y has 10 grams of protein and 5 grams of fat. Rancher has found that Brand X costs $3.5 and brand Y costs $5 per unit. Find out how much of each type should be used by the rancher to minimize cost. Keep in mind that the rancher has to buy at least one unit of each brand. Moreover, the number of brand X has to be twice the number of brand Y. (Possible Answer: $216)
1 2 3 4 25 26 5 6 7 8 9 10 11 12 13 14 15 MODEL 16 17 18 19 20 21 22 23 24 31 32 33 A 34 35 DATA 36 37 29 27 28 29 CONSTRAINTS 30 LS B DECISION VARIABLES с OBJECTIVE FUNCTION RELATION RS D [Name] E F LL
Transcribed Image Text:1 2 3 4 25 26 5 6 7 8 9 10 11 12 13 14 15 MODEL 16 17 18 19 20 21 22 23 24 31 32 33 A 34 35 DATA 36 37 29 27 28 29 CONSTRAINTS 30 LS B DECISION VARIABLES с OBJECTIVE FUNCTION RELATION RS D [Name] E F LL
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