TYBMS Sem 6 ATKT Operation Research Question Paper 2026 - Mumbai University | munotes

Questions asked in this paper

• 2. Figures to the right indicate full marks

1. Q3 Use of non programmable calculator is not
2. Q4 Normal distribution table is printed on for
3. Q5 Support your answers with S
4. Q6 Graph paper will be supplied on Attempt any two questions:
   • a) Use simplex method to solve the followin Subject to the constraints,
   • b) Amanufacturer manufactures two and These products are two machines 7.5 M1 and M2. The processing time in per unit of these products and resource capacities are as under: Product A gives a profit.of Rs:8 per unit while generates of Rs. 5 per unit. Formulate the and solve byGraphical
   • c) Answer
   • i) at.do.you Objective function detigion variables in LPP? 2.5 iti) LPP. Explain with sketch. 2.5 ur be to one basis. Cost of each assignment is given in Optimal assignment worker to minimize total cost. 7.5
   • b) There are 3 Factories A, B, C and three Markets X, Y and Z. Supply at the units. Demand at the market places is 75,110 and 40 units, The supply Demand units cost of Transportation (in Rs.) and the schedule followed from g (The numbers which are shown in circle indicates numbers of Units transported from
   • i) Test the given solution for find optimal Transportation solution. 03 Answer each question
   • i) What prevent ptohi part of Transportation Solution? 2.5
   • ii) Discuss Transportation Problem. 2.5
   • iii) the coneépt of Regret Matrix in Assignment Problem. 2.5
   • a) Asmail project consists of following oe Construct the and find out critical path and project completion time. 2.5 Calculate Earliest Finish Time, Latest Start Time and Latest Finish Time for — Caleulate’sta of and Slack of Head Event for non critical activities. 1
   • b) The following table gives data on normal time and cost and crash time.and cost for
   • a) Construct the network diagram and find Cal path arid the
   • b) The Total Direct Normal Cost is out 5 optimum duration by crashing and project cost
   • c) Answer each question in
   • i) Discuss the use of Dummy in 2.5
   • ii) Discuss “Time and Cost Trade 2.5
   • iii) Distinguish between 2.5 4, Attempt any two questions:
   • a) Aconsumer goods followin Rs.100) for the sales return of their product. Three strategies uncertain states of Nature (Nz, You are required 1
   • ii) LS
   • b) are? different products machine shop. Their manufacturing time in Hrs on machines 1 and of the must go through two machines 1 and 2 in the order 1-2 on Machine 1 | Time in Hrs on Machine 2 nd the sequence of products that minimizes the total
   • ii) Find the Total Elapsed Time for the optimum Sequence
   • iii) Calculate the idle time for machine 1
   • iv) Calculate the idle time for machine 2,
   • c) The following game matrix is given (in Rs. 000) SESS
   • i. Find the Maximin Strategy. 2.5
   • ii. Find the Minimax Strategy. 2.5 Aproject which is planned using PERT following details of Average Expected Times Calculated using the formula, te standard
   • i. expected completion time of the project. 3 i, probability of completing the project in 14 Weeks. 2 there is the completion deadline of one week after estimated FS time, the probability of being penalized? 2 G Swi and the variable cost is Rs.15000/- per week. Find the shotuld: 1 95% confidence of completion of the project (for the Purpose ot that is break even —no loss and no profit). 2 S proje t of Rs, 10000/- per week for any delay beyond15 weeks. What of penalty exactly equal to Rs. 20000/-? 2 Area Under Standard Normal Distribution

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