Reference no: EM132071755

Wilson Creek Farm has 200 acres of land available for planting three crops: corn, soybeans, and wheat. The production yield, water requirements, and labor requirements for a salable crop are given below. The owner expects to have only 35,000 gallons of water available per week to use for the crops, and during the growing season he will only have 8000 person-hours of labor available. The expected profit per bushel of each crop is $1.00 for corn, $1.60 for soybeans, and $3.00 for wheat. The owner can use any mix of crops, and he does not necessarily have to use all of the 200 acres of his farm. Formulate a linear program that will maximize the farmers profit. Crop Yield in busels per acre Water Required (in gallons per acre per week) Labour Required in person hours per acre Corn 300 200 35 Soybeans 200 150 40 Wheat 80 125