cbtruebl_HW4 - PURDUE UNIVERSITY School of Civil...

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PURDUE UNIVERSITY School of Civil Engineering CE 222/CEM 201 Life Cycle Engineering and Management of Constructed Facilities Homework #4 Due: 10/19/12 Question #1 (5 points) Using PERT, (a) calculate expected project duration and determine the critical path in the network defined by the data below; and (b) what is the probability of completing this project in 32 weeks or less? Activity# Activity Type Duration (Weeks) Followed by Act# 10 20 30 40 50 60 70 80 90 100 110 120 130 140 Prefab wall forms Excavate Cols and Walls Let Elec and Mech subcontract Deliver wall Forms Forms, Pour&Cure Wall&Col Fig Rough-in Plumbing Install Conduit Erect Wall Forms&Steel Fabricate&Set Interior Column Forms Erect Temporary Roof Pour, Cure&Strip Walls Pour, Cure&Strip Int. Walls Backfill for Slab on Grade Grade&Pour Floor Slab constant constant t a , t m , t b constant t a , t m , t b t a , t m , t b t a , t m , t b constant constant t a , t m , t b constant constant constant constant 2 3 3,4,8 4 6,7,8 5,7,10 9,11,15 9 6 12,16,18 10 6 1 5 40 50,60,70 60,70 80,90,100 80,90,100 110 110 110 120 140 130 140 140 END Activity’ Te’ Va’ 10’ 2.00’ 0.00’ 20’ 3.00’ 0.00’ 30’ 4.50’ 0.69’ 40’ 4.00’ 0.00’ 50’ 7.00’ 0.11’ 60’ 6.83’ 0.69’ 70’ 11.33’ 1.00’ 80’ 9.00’ 0.00’ 90’ 6.00’ 0.00’ 100’ 15.67’ 1.00’ 110’ 10.00’ 0.00’ 120’ 6.00’ 0.00’ 130’ 1.00’ 0.00’ 140’ 5.00’ 0.00’ Critical’Path: ’ 20-50-80-110-130-140’
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Expected’time: ’ 35.00’ STD:’ 0.33’ Z’value: ’ 9.00’ Probability:’ 0%’ Question #2 (5 points) You want to purchase a car with a sticker price of $25,000. The car dealer offers you a $2,000 discount and a 48-month, 8.5% APR compounded monthly, or no discount with a 4.0% APR on a 48-month loan. Which offer is better?
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