Garden House produces three custom flower seed mixes. Garden House is trying to decide how many pounds of each mix to produce for the upcoming planting season. All three mixes require two seed types, the all-star and the purple power. Garden house can obtain at most 25 lbs of all-star and 30 lbs of purple power seeds. Seed requirements, along with the revenue per pound of each, are given in Table 1, All star seeds cost $2/lb, and purple power seeds cost $3/lb. From past history, the company knows that it will be able to sell at most 60 lbs of mix A, but that they will sell as much of mix B and mix C as they produce. Formulate a linear program to help garden house maximize its profits.

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Please note that formulating linear program doesn't need coding but only modelling. It's operational Research problem. 

 

Garden House produces three custom flower seed mixes. Garden House is trying to decide how many pounds of each mix to produce for the upcoming planting season. All three mixes require two seed types, the all-star and the purple power. Garden house can obtain at most 25 lbs of all-star and 30 lbs of purple power seeds. Seed requirements, along with the revenue per pound of each, are given in Table 1, All star seeds cost $2/lb, and purple power seeds cost $3/lb. From past history, the company knows that it will be able to sell at most 60 lbs of mix A, but that they will sell as much of mix B and mix C as they produce. Formulate a linear program to help garden house maximize its profits.

Table 1-Seed Requirements and Revenue
Purple Power Seed
Required (lbs) Y
Seed
All-Star Seed
Mix
Mіx A
Required (lbs)
Revenue (S/lb)
Міx В
Mіx С
0.25
0.15
0.25
0.25
0.30
$6
$3
$5
0.10
Transcribed Image Text:Table 1-Seed Requirements and Revenue Purple Power Seed Required (lbs) Y Seed All-Star Seed Mix Mіx A Required (lbs) Revenue (S/lb) Міx В Mіx С 0.25 0.15 0.25 0.25 0.30 $6 $3 $5 0.10
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