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A manufacturing company is engaged in producing three types of products: A,

A manufacturing company is engaged in producing three types of products: A, B and C. the production department produces each day, a components sufficient to make 50 units of A, 25 units of B and 30 units of C. the management is confronted with the problem of optimizing the daily production of products in assembly where only 100 man hours are available daily to assemble the products. The following additional information is available: Product Profit contribution /unit Assembly time/unit in hrs A 12 0.8 B 20 1.7 C 45 2.5 The company has a daily order commitment for 20 units of product A and a total of 15 units of products for product B and C. formulate this problem as an LP model so as to maximize the total profit.

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