A farmer has recently acquired a 110 hectares piece of land. He has decided to grow Wheat and barley on that land. Due to the quality of the sun and the region's excellent climate, the entire production of Wheat and Barley can be sold. He wants to know how to plant each variety in the 110 hectares, given the costs, net profits and labor requirements according to the data shown below: Variety Cost (Price/Hec) Net Profit (Price/Hec) Man-days/Hec Wheat 100 50 10 Barley 200 120 30 The farmer has a budget of US$10,000 and an availability of 1,200 man-days during the planning horizon. In addition, the farmer would like to get a profit of at least $3000. Generate the mathematical model for the optimal usage of land area to produce wheat and barley. Using graphical method to optimize land usage, how many hectares are to be used for wheat and barley.

A farmer has recently acquired a 110 hectares piece of land. He has decided to grow Wheat and barley on that land. Due to the quality of the sun and the region's excellent climate, the entire production of Wheat and Barley can be sold. He wants to know how to plant each variety in the 110 hectares, given the costs, net profits and labor requirements according to the data shown below: Variety Cost (Price/Hec) Net Profit (Price/Hec) Man-days/Hec Wheat 100 50 10 Barley 200 120 30 The farmer has a budget of US$10,000 and an availability of 1,200 man-days during the planning horizon. In addition, the farmer would like to get a profit of at least $3000. Generate the mathematical model for the optimal usage of land area to produce wheat and barley. Using graphical method to optimize land usage, how many hectares are to be used for wheat and barley.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 24CT

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