imt-15 practice questions

8/3/2019 Imt-15 Practice Questions

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a)b)

PRODUCTION OPERATIONS MANAGEMENTNUMERICAL EXERCISE

L The able elow hows obconsistingf3sub-jobs ,b andc alongwith imeestimates.

Draw the projectnetworkdiagram.Find the critical path and thetime taken or completing heproject.\44rat s theprobability of completing he project n 40 days?2. A project has the following activities, duration, costs and precedencerelationships.

Activity Immediatepredecessor Duration (weeks) Cost Rs)Normal Crash Normal Crasha 10 o9 11,OOO 15,OOOb 13 2O,OOO 25,OOOc a 10 o6 9 ,OOO 2O,OOOd a 20 18 25,OOO 30.oooe c 10 20,ooo 35,oOOf b t7 20.ooo 30.ooof L2 10 15,OOO 25,OOOh d , f o9 OB 12.OOO 18.oooI s ,h 07 o8 10,ooo 15.OOO

(a)Draw a CPM network diagram for normal time estimates of activityduration. Calculatehe earlieststart, earliest inish, latest start, atestfinish and slack or eachactivity(b)Determine he critical path and theduration of completionof project(c)Developcost-time mde off analysis.Crash he project o its minimumdurationat the owest ost.

Job L-2 1-6 2-2 2-4 4-5 5-B 7-8a (davs) 1 2 2 2 7 5 5 3 8b (days) 7 5 r4 5 10 5 B 3 17c (days) L4 26 8 r9 17 2q 9


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3. PerformABCanalysis nthe ollowingsample f tems n an aventory.Item Annualconsumption Price unito ooo 20B 29oo 30C 4 o 2 oD 12oo 10E 4 o 1 oF g2o 02G 2So 10H 9oo 10I 7oo goJ 9 0 2 0

4. Jayceepotteriesmanufacturescerarnicbowls and mugs. T\vomainusedby the companyare skilled labour and clay. The resources eqthe profit per unit of eachproduct s tabulatedbelow.

Product

BowlMug

Resources requiredLabour(Hrs/unit)I2

Clay(Kc/unit)+3

There are 4o hours of skilled labour and rzokg of clay availableFormulate the problem for maximizationof profit as a linearproblemandfind the solutiongraphicallyusing so-profit lines.

There are five jobs eachof which must go through two machinesAorder AB. Processing ime are given below. Assignsthe jobs tominimizeprocessingime. Find the dling time of the machines.Job Machine A Machine B

5B I 6c 9 7D 3 IE LO +

Profit /

B lnto


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9. The ablebelowgivesdetailsaboutvariousasks n assemblyperation.Task Precederrce Task tinRequirement (minutes)A - 1 0D U 2 0C A 3 ( )D 4 c 1 5E A l oF B 2 cG D l oH G r sI F , H $Questions(a)Explainthe heuristic steps nvolved

(b)Find the theoreticalminimum cycle ime.(c) Find the theoreticalnumber of work stations(d)Assign asks o work stationsusing LOT rule(e)Calculate he efEciency f the assemblyine(fl Determine hebalancedelay10.A companys setting up an assemblyine to produce192units per IThe following table dentifiesthework elements, imes,and mmediateDreoecessors.

Work element Tirne(seconds) IrnrnediatePredecessors(4o8o

7zosecondsQuestions:(a)What is the cycle ime/(b)What is the theoreticalnumber ofwork stations?(c) Draw the precedence iagram.(d) Determine he idle time, efEciency, nd balancedelay.

BDEFHIJ

D , E , F

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imt-15 practice questions

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