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## Ms-51 December, 2009 Operations Research

December, 2009

Ms-51 : Operations Research

1. Solve the following problem through SIMPLEX method.

Minimize Z  = — 3x1+ x2+ x3

Subject to

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1165 Hits

## Ms-51 June , 2010 Operations Research

June, 2010

MS-51 : Operations Research

1. (a) "Operations Research (OR) is an aid for the executive in making his/her decisions by providing him/her with needed quantitative information based on the scientific method of analysis". Discuss the statement and give atleast two examples to illustrate how operations research is helpful in decision making.

(b) A manufacturing company is producing two products A and B. Each requires processing on two machines 1 and 2. Product A requires 03 hours of processing on machine 1 and 02 hours on machine 2. Product B requires 2 hours of processing on machine 1 and 6 hours on machine 2. The unit profits for product A and product B are Rs. 10 and Rs. 20 respectively. The available time in a given quarter on machine 1 and machine 2 are 1200 hrs and 1500 hrs respectively. The market survey has predicted that not more than 400 units of product A and not more than 250 units of product B can be sold in the given quarter.  The company wants to determine the product mix to maximize the profits. Formulate the problem as linear programming mathematical model and determine the profit.

2. (a) Why is the simplex method a better technique than a graphical approach for ost real cases ? Construct the dual to the following primal problem :

618 Hits
618 Hits

## Ms-51 June , 2010 Operations Research

June, 2010

MS-51 : Operations Research

1. (a) "Operations Research (OR) is an aid for the executive in making his/her decisions by providing him/her with needed quantitative information based on the scientific method of analysis". Discuss the statement and give atleast two examples to illustrate how operations research is helpful in decision making.

(b) A manufacturing company is producing two products A and B. Each requires processing on two machines 1 and 2. Product A requires 03 hours of processing on machine 1 and 02 hours on machine 2. Product B requires 2 hours of processing on machine 1 and 6 hours on machine 2. The unit profits for product A and product B are Rs. 10 and Rs. 20 respectively. The available time in a given quarter on machine 1 and machine 2 are 1200 hrs and 1500 hrs respectively. The market survey has predicted that not more than 400 units of product A and not more than 250 units of product B can be sold in the given quarter.  The company wants to determine the product mix to maximize the profits. Formulate the problem as linear programming mathematical model and determine the profit.

2. (a) Why is the simplex method a better technique than a graphical approach for ost real cases ? Construct the dual to the following primal problem :

643 Hits
643 Hits

## Ms-51 June , 2010 Operations Research

June, 2010

MS-51 : Operations Research

1. (a) "Operations Research (OR) is an aid for the executive in making his/her decisions by providing him/her with needed quantitative information based on the scientific method of analysis". Discuss the statement and give atleast two examples to illustrate how operations research is helpful in decision making.

(b) A manufacturing company is producing two products A and B. Each requires processing on two machines 1 and 2. Product A requires 03 hours of processing on machine 1 and 02 hours on machine 2. Product B requires 2 hours of processing on machine 1 and 6 hours on machine 2. The unit profits for product A and product B are Rs. 10 and Rs. 20 respectively. The available time in a given quarter on machine 1 and machine 2 are 1200 hrs and 1500 hrs respectively. The market survey has predicted that not more than 400 units of product A and not more than 250 units of product B can be sold in the given quarter.  The company wants to determine the product mix to maximize the profits. Formulate the problem as linear programming mathematical model and determine the profit.

2. (a) Why is the simplex method a better technique than a graphical approach for ost real cases ? Construct the dual to the following primal problem :

688 Hits
688 Hits

## Ms-51 June, 2011 Operations Research

June, 2011

MS-51 : Operations Research

1.  (a)   Discuss the historical background of Operations Research (O.R). Explain its significance and scope in Management Des ci s ion Ma king. Enumerate the limitations of O.R.

(b) Solve the following Linear Programming Problem graphically.

Maximize Z = 4x1  + 6x2

1137 Hits
1137 Hits

## Ms-51 June, 2011 Operations Research

June, 2011

MS-51 : Operations Research

1.  (a)   Discuss the historical background of Operations Research (O.R). Explain its significance and scope in Management Des ci s ion Ma king. Enumerate the limitations of O.R.

(b) Solve the following Linear Programming Problem graphically.

Maximize Z = 4x1  + 6x2

705 Hits
705 Hits

## Ms-51 December 2012 Operations Research

December, 2012

Ms-51 : Operations Research

1. (a) Experts believe that OR is a technique which help in resolving conflicts between Production, Finance, Marketing and Personnel functions of a manufacturing unit. Do you agree ? Justify your answer with the help of suitable examples.

(b) A company produces product A and B and has a total production capacity of 9 tons per day. A and B require the same production capacity. The company has a permanent contract to supply at - least 2 tons of A and at least 3 tons of B per day to another company. Each ton of A requires 20 machine hours production time and each ton of B requires 50 machine hours production time. The daily maximum possible number of machine hours is 360. All the firm's out put can be sold and the profit made is Rs. 80 per tons of A and Rs. 120 per tons of B. Determine the production schedule for maximum profit and also calculate the profit.

2. (a) What functions does inventory perform ? State the two basic inventory decision management must make as they attempt to accomplish the function of inventory described by you.

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1206 Hits

## Ms-51 December 2011 Operations Research

December, 2011

Ms-51 : Operations Research

1.  (a)  A company produces two products A and B, each of which requires three types of

processing. -The length of time for processing each unit and the profit per unit are given in the following table :

Process \$

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1747 Hits