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Operation Management Problems Solution




1. Schedule the following activities using CPM;Activity;Time;Pred 1;Pred 2;A;1;-;B;4;A;C;3;A;D;2;B;E;5;C;D;F;2;D;G;2;F;H;3;E;G;a. Draw the network.;b. What is the critical path?;c. How many weeks will it take to complete the project?;d. Which activities have slack, and how much?;2. The R&D department is planning to bid on a large project for the development of a new;communication system for commercial planes. The accompanying table shows the activities;times, and sequences required;Activity;Time;Pred 1;Pred 2;Pred 3;A;3;-;B;2;A;C;4;A;D;4;A;E;6;B;F;6;C;D;G;2;D;F;H;3;D;F;I;3;E;G;H;a. Draw the network diagram.;b. What is the critical path?;c. Suppose you want to shorten the completion time as much as possible, and you have the option of shortening any or all of B, C, D, and G each one week. Which would you shorten?;d. What is the new critical path and earliest completion time?;02 section 1 STRATEGY, PRODUCTS, AND CAPACITY;8. The following represents a project that should be scheduled using CPM;Activity;Optimistic;(a);Likely;(m);Pessimistic;(b);Mean;(a+4m+b)/6;Std dev;s= (b-a)/6;Variance;s^2;A;1;3;5;3.00;0.67;0.44;B;1;2;3;2.00;0.33;0.11;C;1;2;3;2.00;0.33;0.11;D;2;3;4;3.00;0.33;0.11;E;3;4;11;5.00;1.33;1.78;F;3;4;5;4.00;0.33;0.11;G;1;4;6;3.83;0.83;0.69;H;2;4;5;3.83;0.50;0.25;a. Draw the network.;b. What is the critical path?;c. What is the expected project completion time?;d. What is the probability of completing this project within 16 days?;9. There is an 82 percent chance the project below can be completed in X weeks or less.;What is X?


Paper#30232 | Written in 18-Jul-2015

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