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.
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= 3x1 + 2X2
Subject to the constraints:
X1+ X2 ≤ 4
X1 - X2 ≤ 2
X1, X2 ≥ 0
problem 4: Describe the procedure of MODI method of finding solution via optimality test.
a) Describe the steps in the Hungarian method.
b) Solve the given assignment problem.
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.