A farmer has 150 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is Rs 400 per acre whereas that of crop B is Rs 600 per acre. The farmer has a maximum of Rs 74,000 avilable for land cultivation. Each acre of crop A requires 20 hours of labour and each acre of crop B requires 25 hours of labour. The farmer has a maximum of 2,300 hours of labour available. He also has decided that he will cultivate at least 70 acres of crop A. If he expects to make a profit of Rs 150 per acre on crop A and Rs 200 per acre on crop B,how many acres of each crop should he plant in order to maximize his profit. Formulate this as L.P.P model and solve it graphically.

A farmer has 150 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is Rs 400 per acre whereas that of crop B is Rs 600 per acre. The farmer has a maximum of Rs 74,000 avilable for land cultivation. Each acre of crop A requires 20 hours of labour and each acre of crop B requires 25 hours of labour. The farmer has a maximum of 2,300 hours of labour available. He also has decided that he will cultivate at least 70 acres of crop A. If he expects to make a profit of Rs 150 per acre on crop A and Rs 200 per acre on crop B,how many acres of each crop should he plant in order to maximize his profit. Formulate this as L.P.P model and solve it graphically.

Name: A farmer has 150 acres of land suitable for cultivating crops A and B.
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Description: A farmer has 150 acres of land suitable for cultivating crops A and B. The cost of cultivating crop A is Rs 400 per acre whereas that of crop B is Rs 600 per acre. The farmer has a maximum of Rs 74,000 avilable for land cultivation. Each acre of crop

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 69P: The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon...

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