Define OR. Write the applications of it.
[7 marks]Get an initial basic feasible solution to the given transportation problem using the North-west corner rule: From D1 D2 D3 D4 Supply O1 11 13 17 14 250 O2 16 18 14 10 300 O3 21 24 13 10 400 Demand 200 225 275 250 950
[7 marks]Discuss the reasons for carrying inventory.
[7 marks]Amarketing manager has five salesman and five sales districts. Considering the capabilities of the salesman and the nature of districts, the marketing manager estimates that the sales per month (in hundred rupees) for each district would be as follows: Districts A B C D E Salesmen
[7 marks]Afirm is considering the replacement of a machine, whose cost price is Rs. 12,200, and its scrap value is Rs. 200. From experience the running (maintenance and operating) costs are found to be as follows: Year 1 2 3 4 5 6 7 Running 200 500 800 1200 1800 2500 3200 4000 Cost (Rs.) When should the machine be replaced? Page 1 of
[3 marks]Define the terms:Saddle Point, Two - Person Zero Sum Game, Minimax Principle, Maximin Principle.
[7 marks]Atelevision repairman finds that the time spent on TV sets has an exponential distribution with a mean of 30 minutes. If he repairs the sets in the order in which they came in, and if the arrival of sets follows a Poisson distribution approximately with an average rate of 10 per 8-hour day, what is the repairman’s expected idle time each day in hours? How many jobs are ahead of the average set just brought in?
[7 marks]Activity A B C D E F G H Predecessor Activity - A A B B, E D, G C F Draw a network diagram of activities for the project.
[7 marks]Abook binder has one printing press, one binding machine and manuscripts of different books. The times for performing printing and binding operations for different books are shown below: Book 1 2 3 4 5 6 Printing 20 90 80 20 120 15 65 Time Binding 25 60 75 30 90 35 50 Time Decide the optimum sequence of processing of books in order to minimize the total time required to bring out all the books.
[7 marks]Discuss the phases of project management.
[7 marks]Amanufacturing company is engaged in producing three types of products: A, B, and C. The production department produces each day components sufficient to make 50 units of A, 25 units of B, and 30 units of C. The management is confronted with the problem of optimizing the daily production of products in assembly where only 100 man-hours are available daily to assemble the products. The following additional information is available: Type of Profit Assembly Product Contribution Time per per Unit of Product Product (Rs) (hrs) A 12 0.8 B 20 1.7 C 45 2.5 The company has a daily order commitment for 20 units of products Aand a total of 15 units of products Band C. Formulate this problem as an LP model so as to maximize the total profit.
[7 marks]Explain the advantages and disadvantages of simulation. Page 2 of
[3 marks]Use the Graphical method to solve the following LP problem: Maximize Z = 15x + 10x21 Subject to the constraints, 4x + 6x ≤ 360, ii) 3x + 0x ≤ 180, iii) 0x + 5x ≤ 200 and x , x ≥ 0.12
[7 marks]Explain the formulation of LPP with its components.
[7 marks]Use the Simplex method to solve the following LP problem: Maximize Z = 3x + 5x + 4x123 Subject to the constraints, 2x + 3x ≤ 8, ii) 2x + 5x ≤ 10, iii) 3x + 2x + 4x ≤ and x , x , x ≥ 0.123
[15 marks]Write the assumptions of an LP Model.
[7 marks]Write the dual of the following LP problem. Maximize Z = x - x + 3x123 Subject to the constraints,
[7 marks]x1 + x + x ≤ 10, ii) 2x – x - x ≤ 2, iii) 2x - 2x - 3x ≤ and x , x , x ≥ 0.123 Page 3 of
[3 marks]