Consider the following land allocation problem. Jerkawictz Farms has 1,200 acres

Question

Consider the following land allocation problem. Jerkawictz Farms has 1,200 acres of land on which to grow corn, wheat, tomatoes and pumpkins. The manager has already decided to allocate at least 250 acres for corn, 150 acres for wheat, and 200 acres for tomatoes. He wants at most 150 acres used to grow pumpkins. The farmer knows that each acre of corn costs $100 for preparation, requires 7 days of labor, and yields a profit of $300. An acre of wheat costs $120 for preparation, requires 10 days of labor, and yields a profit of $400. An acre of tomatoes costs $85 for preparation, requires 10 days of labor, and yields a profit of $350. An acre of pumpkins costs $70 for preparation, requires 8 days of labor, and yields a profit of $500. If the farm manager has $12,000 for preparation costs, and can count on enough workers to supply 9,000 days of labor, how many acres should be devoted to each crop to maximize profits? (a) Define the decision variables and give the objective in terms of the variables. (b) Give the constraints in terms of the variables. (c) Give the data table for the problem below. Hint: there should be should be 7 rows.

Explanation / Answer

https://www.google.co.in/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&ved=0CDMQFjAA&url=http%3A%2F%2Fwww.nytimes.com%2F2012%2F10%2F14%2Fmagazine%2Fcalifornias-central-valley-land-of-a-billion-vegetables.html%3Fpagewanted%3Dall&ei=oMICUaTLMIKPrgeU3IGoBg&usg=AFQjCNENyzGsq0JQLV2hdAwEALZ0kYP-XQ&sig2=Yy7RI4Hn5vJx4ljtfKVFZw&bvm=bv.41524429,d.bmk www.soilandhealth.org/03sov/0302hsted/030203/030203c6-10.html msucares.com/pubs/publications/p1828.pdf

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