Question: (20) Question 3 Consider the following LP problem Maximise = - + 5y subject to 3z + y 29 2r - ys 12 - +

(20) Question 3 Consider the following LP problem Maximise = - + 5y subject to 3z + y 29 2r - ys 12 - + 5y S 21 2 and 2,y > 0 (a) Represent all the constraints of the problem on the graph below Represent on the horizontal axis and y on the vertical axis Label all relevant lines on the graph and indicate the feasible region clearly (7) 12 9 10 11 12 Page 9 of 16 10/17 October November 2018 (b) Fud all the corner points of the feasible region and evaluate the objective funcion at cach of them (c) Dolucr the optimal solution If the LP problem is toasatile or unbounded, give the reason for thes, and if the LP problem hus multiple oplaual solutions, find the general ostatnal solution (d) Stato cleaaly all tudundant, banding and nonbinding constraints in thus lineur programming problem (c) Find the gencial equation of sopa ofit Imes (2)
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