A cheese plant produces and sells three types of cheese: Cheddar, Monterey Jack, and Swiss. The sole objective is to maximize total profit from the production and sale of the three cheeses. The data below describes the production hours per unit in each of the three production operations required to produce each cheese and other data for the exercise.
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Labor (hours/100 pounds)
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Type of Cheese
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1
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2
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3
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Profit ($/100 pounds)
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Cheddar
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0.2
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0.5
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0.5
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50.00
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Monterey Jack
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0.5
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0.5
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0.2
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40.00
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Swiss
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1.0
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0.3
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0.2
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70.00
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Weekly Time Available (hours)
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90
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40
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60
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a. Write this problem in standard form (including slack variables).
b. Solve this problem using the simplex method. Write each tableau on additional sheets of paper. Label tableau 1 as 1, tableau 2 as 2, etc. What is the optimal solu- tion for this problem?