Question: Given the following partial information from a linear programming model: Objective function: Max 12x + 4y Binding constraints: 8x + 2y s 20 (1) 6x

Given the following partial information from a

Given the following partial information from a linear programming model: Objective function: Max 12x + 4y Binding constraints: 8x + 2y s 20 (1) 6x + 3y s 24 (2) Optimal values of decision variables: x=1 y = 6 Calculate the following (and show your work): a) The value of objective function (1 mark) b) The new optimal values of x and y if the RHS of constraint (1) was increased from 20 to 21 (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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