6 Farmer Jane owns 45 acres of land. She is going to plant each with wheat or corn. Each acre planted with wheat yields $200 profit; each with corn yields $300 profit. The labor and fertilizer used for each acre are given in Table 1. One hundred workers and 120 tons of fertilizer are available. Use linear programming to determine how Jane can maximize profits from her land. TABLE 1 Wheat Corn Labor 3 workers 2 workers Fertilizer 2 tons 4 tons

6 Farmer Jane owns 45 acres of land. She is going to plant each with wheat or corn. Each acre planted with wheat yields $200 profit; each with corn yields $300 profit. The labor and fertilizer used for each acre are given in Table 1. One hundred workers and 120 tons of fertilizer are available. Use linear programming to determine how Jane can maximize profits from her land. TABLE 1 Wheat Corn Labor 3 workers 2 workers Fertilizer 2 tons 4 tons

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter13: Decision Making Under Uncertainty

Section13.1: Decision Criteria

Problem 5P

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Question

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6 Farmer Jane owns 45 acres of land. She is going to plant
each with wheat or corn. Each acre planted with wheat
yields $200 profit; each with corn yields $300 profit. The
labor and fertilizer used for each acre are given in Table 1.
One hundred workers and 120 tons of fertilizer are available.
Use linear programming to determine how Jane can
maximize profits from her land.
TABLE 1
Wheat
Corn
Labor
3 workers
2 workers
Fertilizer
2 tons
4 tons

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