,

Please answer the question with a proper and clear explanation according to the sensitivity analysis report.

5) Following table summarizes the information for producing 3 different products. x1,x2 and x3 production amounts of products 1,2 and 3 respectively. LP formulation of the problem is given below: Max.z=20x1+12x2+35x3 Resource 1: 2x1+x2+4x160 Resource 2: x1+2x2+x190 Resource 3: 3x1+2x2+2x3120 and x10,x20,x30. 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? (5 p) Suppose that it is possible to buy 1 tone of resource A from 5 TL. Is it profitable to buy 1 tone of A at that price? What is the minimum objective function coefficient of 3 so that it is profitable to produce? SENSITIVITY ANALYSIS REPORT: OBJECTIVE FUNCTION VALUE RANGES IN WHICH THE BASIS IS UNCHANGED