Question: Question 1. Solving LP models: Graphical representation method [20] Consider the following LP model: Minimise : = 2x - 3y subject to 9x - y

Question 1. Solving LP models: Graphical representation method [20] Consider the following LP model: Minimise : = 2x - 3y subject to 9x - y > 9 --4x+6y 21 5x + 3y S63 1-8y S4 I,y > 0 and (a) Represent all the constraints of the LP model on a graph. Represent x on the horizontal axis and y on the vertical axis. Label all relevant lines on the graph and indicate the feasible region clearly. Include two isoprofit lines on the graph. Important note: You must use the necessary tools to draw a reasonably accurate graph. A rough sketch is not acceptable. (b) Find all the corner points of the feasible region and evaluate the objective function at each of them. () Deduce the optimal solution. If the LP problem is infeasible or unbounded, give the reason for this. If the LP problem has multiple optimal solutions, find the general optimal solution (a) State clearly all redundant, binding and nonbinding constraints in this LP model

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