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2003 Course Costing, Estimating, Project Management & Operation Research

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Total No. of Questions : 6] P1307 [Total No. of Pages : 4 [3864]-301 B.E. (Printing) COSTING AND ESTIMATING AND PROJECT MANAGEMENT, OPERATION RESEARCH (2003 Course) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) 2) 3) 4) 5) 6) All questions are compulsory. Answers to the two sections should be written in separate books. Neat diagrams must be drawn wherever necessary. Figures to the right indicate full marks. Use of logarithmic tables slide rule, Mollier chats, electronic pocket calculator and steam tables is allowed. Assume suitable data, if necessary. SECTION - I Q1) a) How many boards of 25 30 size will be required for making cases for 5000 books in Demy octavo size? [8] b) Comment on the following, Cost is Fact, Profit is Opinion, Price is Policy [8] OR a) Estimate the cloth roll of 98 cms wide and 25 meter in length will be required for making 2500 books in A4 size and with 20 mm spine. [8] b) Explain in detail what all things to be known by an estimator before doing the estimation job with suitable examples. [8] Q2) a) Explain various elements of cost with suitable example. [8] b) Explain the term standard cost and the standard format to find out the composite machine hour rate. [8] OR a) Differentiate between costing and estimation. [8] b) What are the elements of Competitive Environment? Explain any two with suitable examples. [8] P.T.O. Q3) Explain the Six keys of Project Success with examples related to the expansion of a printing press. [18] OR a) Comment on the following, A good idea can be a bad project . [9] b) Explain various reasons of project failure. [9] SECTION - II Q4) a) The utility data for a network of printing press are given below. Determine the total, free, independent & interfering floats and identify the critical path. [10] Activity : Duration : 0-1 1-2 1-3 2-4 2-5 3-4 3-6 4-7 5-7 6-7 2 8 10 6 3 3 7 5 2 8 b) What is the difference between PERT and CPM. [4] c) Explain the following terms : [2] i) ii) Slack. Dummy Activity. OR The time estimates (in weeks) for the activities of a PERT network are given below : Activity to tm tp 1-2 1 1 7 1-3 1 4 7 1-4 2 2 8 2-5 1 1 1 3-5 2 5 14 4-6 2 5 8 5-6 3 6 15 a) Draw the project network and identify all the paths through it. b) Determine the expected project length. c) Calculate the standard deviation and variance of the project length. d) What is the probability that the project will be completed. i) ii) [3864]-301 Atleast 4 weeks earlier than expected time? No more than 4 weeks later than expected time? 2 e) If the project due data is 19 weeks, what is the probability of not meeting the due date? f) The probability that the project will be completed on schedule if the scheduled completion time is 20 weeks. g) What should be the scheduled completion time for the probability of completion to be 90%. [16] Q5) Zmax = 2x1 + 3x2 + 10x3, Subject to x1 + 2x3 = 0, x2 + x3 = 1, x1, x2, x3 > 0. [16] OR Zmin = x1 3x2 + 3x3 Subject to 3x1 x2 + 2x3 < 7 2x1 + 4x2 > 12, 4x1 + 3x2 + 8x3 < 10. x1, x2, x3 > 0. [16] Q6) a) There are five jobs, each of which is to be processed through 3 machines A, B, & C is the order A B C processing times in hours are [8] Job A B C 1 3 4 7 2 8 5 9 3 7 1 5 4 5 2 6 5 4 3 10 Determine the optimum sequence for the five jobs and the minimum elapsed time. Also find the idle time for the three machines & waiting time for the jobs. b) Solve the following assignment problem. 1 2 3 4 5 [3864]-301 I 11 9 13 21 14 II 17 7 16 24 10 III 8 12 15 17 12 IV 16 6 12 28 11 V 20 15 16 26 13 3 [10] OR a) Solve the following transportation problem where cell entries are unit costs. [10] D1 D2 D3 D4 D5 Available O1 O2 O3 O4 O5 68 57 91 52 51 35 88 60 53 18 4 91 75 24 82 74 3 45 7 13 15 8 60 82 7 18 17 19 13 15 Required 16 18 20 14 14 82/82 b) A particular has demand of 9000 units per year. The cost of one procurement is Rs.100 & the holding cost per unit is Rs.2.40/year. The replacement is instanteneous & no shortages are allowed. [8] Determine : i) ii) iii) iv) The economic lot size. The number of orders per year. The time between orders. The total cost per year if the cost of one unit is Rs.1. xxxx [3864]-301 4

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