SEHH1008 Mathematics and Statistics for College Students Semester 1, 2019/2020 Question BS Consider the following linear programming problem: Max 2X...
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# Please help me with the following questions I cannot solve that ATTACHMENT PREVIEW Download attachment WhatsApp Image 2019-12-12 at 4.56.04 AM.jpeg SEHH1008 Mathematics and Statistics for College Students Semester 1, 2019/2020 Question BS Consider the following linear programming problem: Max 2X + 3Y S.t. 3X + 2Y S 30 Constraint 1 3X + Y S 27 Constraint II 2X + 5Y S 53 Constraint III X, Y 20 The following figure shows the three constraints graphically. 15 14 13 12 11 I 10 D0 10 DUNWA 0 5 6 8 9 10 (a) Identify the two binding constraints. Hence. find the optimal solution and optimal value of the above linear programming problem. (S marks) (b) Find the slack surplus associated to the non-binding constraint and state clearly whether it is slack or surplus. (2 marks) (e) Find the range of optimality of the coefficient of'.\' of the objective function. Hence, find the optimal solution if the coefficient of .Vis to be mereased from 2 to 4 (2 marks) (d) Suppose the value of the right-hand side of the Constraint Ill is increased by I (i.e. from 53 to 5-4). Find the new optimal solution and the dual price for the Constraint III. (Correct your CS Scanne find answers to 2 decimal places) (3 marks) Ca Additional Assignment Page 5 of 7

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