Define operations research.

1 1.1 Define operations research.

1.2 Outline the history of operations research.

1.3 Explain the concept of model building in operations research.

1.4 State the principles of modeling.

1.5 State the advantages and disadvantages of models in operations research.

Explain and discuss the concepts covered

2 2.1 Define linear programming.

2.2 Define a linear programme.

2.3 State the scope of linear programming.

2.4 Explain linear megnalities, their graphs and solutions.

2.5 State the two methods of solving linear Programming problems e.g. graphical and Explain and discuss the concepts covered

3 3.1 Draw graphs for the constraints of a linear programming problem

3.2 Identify the feasibility region in 3.1 above.

3.3 Identify the vertex of the feasibility region in 3.2 above.

Explain and discuss the concepts covered

4 3.4 Identify feasibility solution area (convex region).

3.5 Locate the vertices for the solution using the objective function.

3.6 Solve problems in two variables

Explain and discuss the concepts covered

5 4.1 Develop the simplex algorithm.

Explain and discussthe concepts covered

6 4.2 Identify basic variables, non-basic variables shadow prices (cost, evaluations etc).

4.3 Develop the simplex method with equalities as constraints.

7 4.4 Apply the simplex method to problems involving few variables.

4.5 Make use of a computer package for the simplex method

8 5.1 Explain sensitivity analysis techniques.

5.2 Apply the techniques of sensitivity analysis to some practical problems.

9 6.1 Derive dual linear program from primal program.

6.2 Solve optimization problems graphically using dual linear program.

10 6.3 Solve optimization problems by the dual simplex method.

6.4 Obtain the solution of the dual program from the primal program