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You are in charge of a project at the local community center. The center needs to remodel one of the rooms in time for the start of a new program. Delays in the project mean that the center must rent other space at a nearby church at additional cost. Time and cost data for your project are contained in the table below. Your interest is in minimizing the cost of the project to the community center. Immediate Predecessor(s) Normal Time Crash Time Activity START Normal Cost (S) Crash Cost (S) (days) (days) A 7 50 6 170 START B 40 3 360 START 3 70 200 B D 10 20 60 AC AC B E 4 30 4 30 F 80 1 410 G 5 50 230 H 10 60 90 E.F FINISH G.H a. Using the normal times for each activity, what is the earliest date you can complete the project? The corresponding project duration using the normal times is 25 days. (Enter your response as an integer.) b. Suppose the variable overhead costs are $20 per day for your project Also, suppose that the center must pay S70 per day for a temporary room on day 14 or beyond. Find the minimum-cost project schedule. Fil in the table below to show the proper schedule (time for each activity after crashing) for completing the project at minimum cost. (Enter your responses as integers.) Activity Time (days) Activity Time (days) A 6 14 B F 3 10

You are in charge of a project at the local community center. The center needs to remodel one of the rooms in time for the start of a new program. Delays in the project mean that the center must rent other space at a nearby church at additional cost. Time and cost data for your project are contained in the table below. Your interest is in minimizing the cost of the project to the community center. Immediate Predecessor(s) Normal Time Crash Time Activity START Normal Cost (S) Crash Cost (S) (days) (days) A 7 50 6 170 START B 40 3 360 START 3 70 200 B D 10 20 60 AC AC B E 4 30 4 30 F 80 1 410 G 5 50 230 H 10 60 90 E.F FINISH G.H a. Using the normal times for each activity, what is the earliest date you can complete the project? The corresponding project duration using the normal times is 25 days. (Enter your response as an integer.) b. Suppose the variable overhead costs are $20 per day for your project Also, suppose that the center must pay S70 per day for a temporary room on day 14 or beyond. Find the minimum-cost project schedule. Fil in the table below to show the proper schedule (time for each activity after crashing) for completing the project at minimum cost. (Enter your responses as integers.) Activity Time (days) Activity Time (days) A 6 14 B F 3 10

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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You are in charge of a project at the local community center. The center needs to remodel one of the rooms in time for the start of a new program. Delays in the project mean that the center must rent other space at a nearby church at additional cost. Time and cost data for your project are contained in the table below. Your interest is in minimizing the cost of the project to the community center. Immediate Predecessor(s) Normal Time Crash Time Activity Normal Cost (S) Crash Cost (S) (days) (days) START A 7 50 6 170 START В 7 40 3 360 START 3 70 2 200 B D 10 20 8 60 А, С E 4 30 4 30 А, С F 4 80 1 410 В G 5 50 3 230 D E, F G, H H 10 60 9 90 FINISH a. Using the normal times for each activity, what is the earliest date you can complete the project? The corresponding project duration using the normal times is 25 days. (Enter your response as an integer.) b. Suppose the variable overhead costs are $20 per day for your project. Also, suppose that the center must pay $70 per day for a temporary room on day 14 or beyond. Find the minimum-cost project schedule. Fill in the table below to show the proper schedule (time for each activity after crashing) for completing the project at minimum cost. (Enter your responses as integers.) Time Activity Time (days) Activity (days) A 6 E 4 B 3 F G 3 D 10 H 9
Transcribed Image Text:You are in charge of a project at the local community center. The center needs to remodel one of the rooms in time for the start of a new program. Delays in the project mean that the center must rent other space at a nearby church at additional cost. Time and cost data for your project are contained in the table below. Your interest is in minimizing the cost of the project to the community center. Immediate Predecessor(s) Normal Time Crash Time Activity Normal Cost (S) Crash Cost (S) (days) (days) START A 7 50 6 170 START В 7 40 3 360 START 3 70 2 200 B D 10 20 8 60 А, С E 4 30 4 30 А, С F 4 80 1 410 В G 5 50 3 230 D E, F G, H H 10 60 9 90 FINISH a. Using the normal times for each activity, what is the earliest date you can complete the project? The corresponding project duration using the normal times is 25 days. (Enter your response as an integer.) b. Suppose the variable overhead costs are $20 per day for your project. Also, suppose that the center must pay $70 per day for a temporary room on day 14 or beyond. Find the minimum-cost project schedule. Fill in the table below to show the proper schedule (time for each activity after crashing) for completing the project at minimum cost. (Enter your responses as integers.) Time Activity Time (days) Activity (days) A 6 E 4 B 3 F G 3 D 10 H 9
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