problem 1:
a) What do you mean by the linear programming problem? Describe the steps comprised in linear programming problem formulation?
b) A paper mill generates two grades of paper viz., X and Y. Since of raw material restrictions, it can’t produce more than 400 tons of grades X paper and 300 tons of grade Y paper in a week. There are 160 production hrs in a week. It needs 0.20 and 0.40 hours to generate a ton of grade X and Y papers. The mill earns a gain of Rs. 200 and Rs. 500 per ton of grade X and Y paper correspondingly. Formulate this as a Linear Programming Problem.
problem 2:
a) Discuss the methodology of the Operations Research?
b) Illustrate in brief the phases of the Operations Research?
problem 3: Solve the following Linear Programming Problem by using Simple method.
Maximize Z= 3x_{1} + 2X_{2}
Subject to the constraints:
X_{1}+ X_{2} ≤ 4
X_{1} - X_{2} ≤ 2
X_{1}, X_{2} ≥ 0
problem 4: Describe the procedure of MODI method of finding solution via optimality test.
problem 5:
a) Describe the steps in the Hungarian method.
b) Solve the given assignment problem.
problem 6:
a) Describe the steps included in Vogel’s approximation method (VAM) of solving Transportation Problem.
b) Solve the given transportation problem by using the Vogel’s approximation method.