Explain Simulation with real life examples?
[7 marks]What is operation research? Explain different phases of OR?
[7 marks]List the various replacement policies? Explain all with suitable example?
[7 marks]Explain simplex and Dual method with example?
[7 marks]Consider the production planning of the Super Fast Manufacturing Company which makes items Pand V. The Steel requirement for Pis 400gm per piece and that for Vis 350gm per piece. Both Pand V, are machined on Lathe which takes 85 and 50 minutes respectively, and are processed on a Grinder which requires 55 and 30 minutes respectively. Each unit of Pconsumes 20 minutes of Polishing time. The resource availability is: Total Machine Time is 1,450 hours and Total Steel is 250 kg. 30% of total machine time is that of Lathe, 50% of grinder and the remaining of polishing. Unit contribution to profits for Pand Vis Rs 40 and Rs 30 respectively. Formulate this as a Linear Programming model for determining the number of units of Pand Vto be produced which would maximize the profits. Given also is the constraints that the company cannot sell more units of item Pthan of item V.
[7 marks]Aretired person wants to invest upto an amount of Rs 30,000 in fixed income securities. His broker recommends investing in two bonds: Bond Ayielding 7% and Bond Byielding 10%. After some consideration, he decided to invest at most Rs 12,000 in Bond Band at least Rs 6,000 in Bond A. He also wants the amount invested in Bond Ato be at least equal to the amount invested in Bond B. what should the broker recommend if the investor wants to maximize his return on investment? Solve graphically?
[7 marks]Solve the following LPP : Maximize Z=6 P + 20 Q Subject to, 2 P + Q ≤ 32 3 P + 4 Q ≤ 80 P ≥ Q ≥
[10 marks]Explain CPM and PERT with suitable example?
[7 marks]What is Queuing system? Analyse hospital system as queuing system?
[7 marks]Write the dual of the following LPP: Minimise Z = 10 P + 20 Q Subject to, 3 P + 2 Q ≥ 18 P + 3 Q ≥ 2 P – Q ≤ 6 and P,Q ≥ 0
[8 marks]Draw the network diagram and find critical path, earliest start and earliest finish time of each activity of given project?1 Activity 1-2 1-3 1-4 2-6 3-5 4-5 4-8 5-7 6-7 7-8 Duration 3 2 6 4 2 1 4 3 2 (Days)
[4 marks]What is Monte Carlo simulation? Write advantages and disadvantages of simulation?
[7 marks]Solve the following problem using North-West Corner transportation method. To: P Q R S Supply From A: 12 10 12 13 500 From B: 7 11 8 14 300 From C: 6 16 11 7 200 Demand 180 150 350 320 1000
[7 marks]Determine the optimum replacement interval of an equipment which costs of Rs 5,200 and whose resale values and running costs are as follows: Year 1 2 3 4 5 6 Resale 3,500 2,700 1,800 1,000 850 600 425 Values Running 600 850 1,000 1,250 1,400 1,475 2,000 Cost
[7 marks]What is replacement problem? Describe some important replacement situations and policies?
[7 marks]Explain Lease Cost method with suitable example.
[7 marks]Solve the following problem with Hungarian assignment method: S1 S2 S3 S4 S5 B1 4 6 7 5 11 B2 7 3 6 9 B3 8 5 4 6 9 B4 9 12 7 11 B5 7 5 9 8 11
[10 marks]