Question: 2a) Given the following linear programming problem: Maximize 3X + 4Y Subject to 3X + 3Y 30 X + 2Y 16 X, Y 0 (i)

2a) Given the following linear programming problem:

Maximize 3X + 4Y

Subject to 3X + 3Y 30

X + 2Y 16

X, Y 0

(i) Sketch the graph to assess the feasible region. (6 marks)

(ii) Identify the corner points. (6 marks)

(iii) Evaluate the value of the objective function. (3 marks)

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