The farm has pre-contracted a total of 1,000 man-days of hired labor and has in its inventory a total of 250 bags of fertilizers. Determine the optimal allocation of land such that farm profit is maximized and resources that will be used are within the available resources. a) Formulate the linear optimization problem and solve it through graphical method and manual simplex method. Compare the results that you get using the two methods. b) Solve the linear model using Excel solver and interpret the reports including the sensitivity and limit reports.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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The farm has pre-contracted a total of 1,000 man-days of hired labor and has in its inventory
a total of 250 bags of fertilizers. Determine the optimal allocation of land such that farm profit
is maximized and resources that will be used are within the available resources.
a) Formulate the linear optimization problem and solve it through graphical method and
manual simplex method. Compare the results that you get using the two methods.
b) Solve the linear model using Excel solver and interpret the reports including the
sensitivity and limit reports.
Transcribed Image Text:The farm has pre-contracted a total of 1,000 man-days of hired labor and has in its inventory a total of 250 bags of fertilizers. Determine the optimal allocation of land such that farm profit is maximized and resources that will be used are within the available resources. a) Formulate the linear optimization problem and solve it through graphical method and manual simplex method. Compare the results that you get using the two methods. b) Solve the linear model using Excel solver and interpret the reports including the sensitivity and limit reports.
1. Land Allocation
A farmer in Kalinga owns 20 hectares of land, where he can plant wheat and corn. Each
hectare of land planted with wheat generates a profit of PhP 15,000, while a hectare of corn
generates a profit of PhP20,000 after harvesting and sold. To plant and harvest a hectare of
each crop, the farm uses labor and fertilizer as follows:
Wheat
Corn
Labor (md/ha)
Fertilizer (bag/ha)
60
30
15
10
Transcribed Image Text:1. Land Allocation A farmer in Kalinga owns 20 hectares of land, where he can plant wheat and corn. Each hectare of land planted with wheat generates a profit of PhP 15,000, while a hectare of corn generates a profit of PhP20,000 after harvesting and sold. To plant and harvest a hectare of each crop, the farm uses labor and fertilizer as follows: Wheat Corn Labor (md/ha) Fertilizer (bag/ha) 60 30 15 10
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