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LINEAR PROGRAMMING PROBLEM 27. A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits Production requirements for the products are shown in the following table Product Labor (hours) Material 1 (lbs) 3 1 5 Material 2 (lbs.) 2 4 none B 2 3.5 Material 1 costs $24 pound, material 2 costs $5 a pound, and labor costs $15 per hour Product A sells for $101 a unit product B sells for $67 a unit and product sells for $97 50 a unit. Each week there are 300 pounds of material 1; 400 pounds of material 2, and 200 hours of labor Also, there is a weekly demand of 10 units of product each week B D E F G H - Produce A Prodcut B Product C 1 Problem 27 2 3 4 Number of Units 5 Revenue 6 Material cost 7 Labor cost 3 Profit 9 Constraints 10 11 12 13 14 15 Cost LHS Sign RHS