Question: 3. (a) Solve the following linear program graphically using an iso-cost/iso-profit line. The vertices (corners) of the feasible region should be clearly labelled A,B,C etc.

3. (a) Solve the following linear program

3. (a) Solve the following linear program graphically using an iso-cost/iso-profit line. The vertices (corners) of the feasible region should be clearly labelled A,B,C etc. z = 4y-x Minimise Subject to x + 2y 29 Constraint 1 x+ys7 Constraint 2 -x-2y -5 Constraint 3 x,y 20 Copy the tables shown below into your answer and fill in the values required. Optimal value (4dp) Opportunity cost (4dp) X y Z Shadow price (4dp) Constraint 1 Constraint 2 Constraint 3 (b) If constraint 3 now becomes -x-2y -10 then indicate the new feasible region by labelling its corners using M,N,O etc. Copy the table shown below into your answer and fill in the values required. Optimal value (4dp) X y Z

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