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Ashok Chemicals Company manufactures two chemicals. A and B which are sold to the manufacturers of soaps and detergents. On the bases of the next moths demand, the management has decided that the total production for chemicals A and B should be at least 350 kilogram. Moreover, a major customers order for 125kilograms of product A must also be supplied. Product A requires two hours of processing time per kilogram and product B requires one hours of processing time per kilogram. For the coming month 600 hours of processing time are available.The company wants to meet the above requirements at a minimum total production costs. The production costs are birr 2 per kilogram for product A and birr 3 per kilogram for product B. Ashok chemicals company wants to determine its optimal product mix and the total minimum cost relevant there to.
a. Formulate the above as a linear programing model
b. Solve the problem with the simplex method
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