linear programming problems using the simplex method a) Formulate the problem as a linear program. b) Find the optimal solution using simplex method. c) Identify the basis enterprises (crops to be included), non-basis enterprises (crops not to be included) that can be used by the farmer in his farm business decision. d) solve for the optimal solution including the area to be planted to the basis enterprises (crops) and the maximum total revenue that can be generated from the basis enterprises.
linear programming problems using the simplex method a) Formulate the problem as a linear program. b) Find the optimal solution using simplex method. c) Identify the basis enterprises (crops to be included), non-basis enterprises (crops not to be included) that can be used by the farmer in his farm business decision. d) solve for the optimal solution including the area to be planted to the basis enterprises (crops) and the maximum total revenue that can be generated from the basis enterprises.
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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linear programming problems using the simplex method
a) Formulate the problem as a linear program.
b) Find the optimal solution using simplex method.
c) Identify the basis enterprises (crops to be included), non-basis enterprises (crops not to be included) that can be used by the farmer in his farm business decision.
d) solve for the optimal solution including the area to be planted to the basis enterprises (crops) and the maximum total revenue that can be generated from the basis enterprises.
Transcribed Image Text:1) A farmer has a 1,000 acre farm. He can raise and sell any quantity of potatoes, tomatoes,
lettuce and onions. The table below gives the technical data.
Crop
Price received
Labor required
Water required
Fertilizer
(cents/kg) per acre (days)
(gallons/acre) (kg/acre)
Potatoes
5
2
500
80
Tomatoes
14
5
1,500
40
Lettuce
19
6
3,000
60
Onions
8
4
1,000
50
The resources available are as follows:
Labor.
3,000 man-days at $16/day
Water:
2 cents per 100 gallons up to 10° gallons
Fertilizer:
15 cents per kilogram, no limit to quantity
Average yield (kg. per acre):
potatoes – 3,500
tomatoes – 2,400
lettuce – 1,500
-
onion – 2,000
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