Question: operation research CPM Assignment# 2 ( - 14 ) A Company wants to execute a project within 95 weeks. This project includes 10 activities (labeled

operation research CPM Assignment# 2 ( - 14 ) A operation research CPM

Assignment# 2 ( - 14 ) A Company wants to execute a project within 95 weeks. This project includes 10 activities (labeled A, B, ..., ,J), where their precedence relationships are shown in the following table: Activity Predecessor Activity Normal Time(weeks) 32 28 36 Crash Cost (in million $) 180 A B A B 16 D E Crash Time(weeks) 28 25 31 13 27 47 15 17 30 16 Normal Cost (in million $) 160 125 170 60 135 215 90 120 190 80 32 54 F 146 210 72 160 257 96 132 226 84 B B D E,G E,G F C G H I J 17 20 34 18 (a) Draw the project network according to the previous table. (0.5 pt.) (b) Find all possible paths and the corresponding lengths to finish the project. (0.5 pt.) (c) Which is the critical path and what is its length? (0.5 pt.) (d) Determine the least expensive way to crash activities to reduce overall duration to 95 weeks using Marginal cost analysis. (Find the Total crashing cost and the Total project cost after crashing). (1.5 pt.) (e) Solve using Excel Solver and attach the excel file with your answer. (1 pt.)

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