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A company manufactures two products X and Y, which require the following resources. The resources are the capacities machine M1, M2, and M3. The available capacities are 50, 25, and 15 hours respectively in the planning period. Product X requires 1 hour of machine M2 and 1 hour of machine M3. Product Y requires 2 hours of machine M1, 2 hours of machine M2 and 1 hour of machine M3. The profit contribution of products X and Y are $ 5 and $ 4 respectively.
1- Formulate the above problem as (LP) and set up the standard linear programming model and represent the information in a table
2- Solve the problem by using the graphic method. Does the problem represent a special case of linear programming ..Show this case?
3- Identify the feasibility area solution.
4- How many units of each type of product should be produced?
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LINEAR PROGRAMMING MODELS
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