Following table summarizes the information for producing 3 different products. x, x, and x, production amounts...

 

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Following table summarizes the information for producing 3 different products. x₁, x, and x, production amounts of products 1, 2 and 3 respectively. Resource ABC Unit profit (TL/unit) Amount of resource to produce 1 unit of product (tone) Product 2 Product I 2 11 3 20 122ª Product 3 LP formulation of the problem is given below. Max. z 20x + 12x, 35x 2x + Resource 1: Resource 2: x+ Resource 3: 3x, 4x x 212 4 1000046 Available Amount (tones) 60 Q 12012201 2014-20 1569 90 120 60 90 120 and x 20, x 20, 20. 2x2, Note: Tora solution sensitivity report is given at the end of exam sheet. Answer the following questions by using this report Each question is independent (use the original model for each question) a) (5 p) What is the optimum solution and profit? b) (5 p) Suppose that unit profit of product 1 is increased to 23 TL. Does the optimum solution change? What is the effect of it on the total profit? 2) (5 p) Suppose that it is possible to buy 1 tone of resource A from 5 TL. Is it profitable to buy i tone of A at that price? Following table summarizes the information for producing 3 different products. x₁, x, and x, production amounts of products 1, 2 and 3 respectively. Resource ABC Unit profit (TL/unit) Amount of resource to produce 1 unit of product (tone) Product 2 Product I 2 11 3 20 122ª Product 3 LP formulation of the problem is given below. Max. z 20x + 12x, 35x 2x + Resource 1: Resource 2: x+ Resource 3: 3x, 4x x 212 4 1000046 Available Amount (tones) 60 Q 12012201 2014-20 1569 90 120 60 90 120 and x 20, x 20, 20. 2x2, Note: Tora solution sensitivity report is given at the end of exam sheet. Answer the following questions by using this report Each question is independent (use the original model for each question) a) (5 p) What is the optimum solution and profit? b) (5 p) Suppose that unit profit of product 1 is increased to 23 TL. Does the optimum solution change? What is the effect of it on the total profit? 2) (5 p) Suppose that it is possible to buy 1 tone of resource A from 5 TL. Is it profitable to buy i tone of A at that price?

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The answer provided below has been developed in a clear step by step mannerStep 1 a 5 p The optimum solution and profit is x1 10 x2 10 x3 5 Profit 420 ... View the full answer