Question (1) Quantitative Analysis, answer the following discussion question: (10 marks)

1. Suggest 2 potential actions that a quantitative analyst could undertake to ensure that the implementation stage of a project is successful. ( detailed explanation is required)

Question (2) : Referred to your understanding of the special cases in LP, answer the following question: ( 10 marks)

2. Develop your own set of constraint equations and inequalities and use them to illustrate graphically each of the following conditions:
   • No feasible solution problem (5 marks)
   • An Unbounded problem (5 marks)

Question (3): Referred to the below table, solve the following questions: (10 marks)

	X1	X2	Availability per month
Constraint 1	1	2	45
Constraint 2	3	3	87
Constraint 3	2	1	50
Maximize profit	50	20

Required:

1. Formulate the problem as linear program. (Objective function- your own decision variables- Constraints).(4 marks)

2. Draw the problem graphically and assign the feasible region and the optimal point on the graph. (3 marks)

3. Determine the optimal value of Z. (1 mark)

4. What are the binding and nonbinding constraints? (1 mark)

5. What is the slack for constraint (1)? (1 mark)