Question: Question 3 (7 marks) Given the following partial information from a linear programming model: Objective function: Max 6x + 2y Binding constraints: 8x + 2y

Question 3 (7 marks) Given the following partial

Question 3 (7 marks) Given the following partial information from a linear programming model: Objective function: Max 6x + 2y Binding constraints: 8x + 2y s 24 6x + 3y s 30 (1) (2) Optimal values of decision variables: x = 1 y = 8 Calculate the following (and show your work): a) The value of the objective function (1 mark) b) The new optimal values of x and y if the RHS of constraint (1) was increased from 24 to 25 (3 marks) c) The new value of the objective function (1 mark) d) The shadow price of constraint (1) (2 marks)

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