Normal completion time and accelerated completion time Steps that can be taken to crash the project to the shortest time at the lowest cost. Hint: Determine each step's cost and the duration of the project at that stage.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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  1. Normal completion time and accelerated completion time
  2. Steps that can be taken to crash the project to the shortest time at the lowest cost.
    • Hint: Determine each step's cost and the duration of the project at that stage. 
**Project Time and Cost Analysis for Home Redesign**

Kelly Melford and her team are engaged in redesigning a client's home. The client has requested the project be completed sooner than initially planned. To accommodate this request, Kelly tasked her assistant with gathering relevant project data, which is presented in the table below. The information outlines the timelines and costs associated with each activity, expressed in weeks.

| Activity | Normal Time (weeks) | Crash Time (weeks) | Immediate Predecessors | Normal Cost | Crash Cost |
|----------|---------------------|--------------------|------------------------|-------------|------------|
| A        | 10                  | 9                  | --                     | $11,000     | $15,000    |
| B        | 15                  | 13                 | --                     | $20,000     | $25,000    |
| C        | 10                  | 6                  | A                      | $9,000      | $20,000    |
| D        | 20                  | 18                 | A                      | $25,000     | $30,000    |
| E        | 15                  | 10                 | C                      | $20,000     | $35,000    |
| F        | 17                  | 15                 | B                      | $20,000     | $30,000    |
| G        | 12                  | 10                 | B                      | $15,000     | $25,000    |
| H        | 9                   | 8                  | D, F                   | $12,000     | $18,000    |
| I        | 7                   | 6                  | G, H                   | $10,000     | $15,000    |

**Explanation:**

- **Activities**: Each activity is labeled from A to I.
- **Normal Time**: The standard duration required to complete each activity.
- **Crash Time**: The reduced time required to complete each activity at an additional cost.
- **Immediate Predecessors**: Activities that must be completed before the current activity can start.
- **Normal Cost**: The estimated cost for completing the activity in its normal time.
- **Crash Cost**: The cost incurred for completing the activity in the reduced crash time.

This table is utilized for project management decisions, helping Kelly’s team weigh the benefits of reducing project time against the increase
Transcribed Image Text:**Project Time and Cost Analysis for Home Redesign** Kelly Melford and her team are engaged in redesigning a client's home. The client has requested the project be completed sooner than initially planned. To accommodate this request, Kelly tasked her assistant with gathering relevant project data, which is presented in the table below. The information outlines the timelines and costs associated with each activity, expressed in weeks. | Activity | Normal Time (weeks) | Crash Time (weeks) | Immediate Predecessors | Normal Cost | Crash Cost | |----------|---------------------|--------------------|------------------------|-------------|------------| | A | 10 | 9 | -- | $11,000 | $15,000 | | B | 15 | 13 | -- | $20,000 | $25,000 | | C | 10 | 6 | A | $9,000 | $20,000 | | D | 20 | 18 | A | $25,000 | $30,000 | | E | 15 | 10 | C | $20,000 | $35,000 | | F | 17 | 15 | B | $20,000 | $30,000 | | G | 12 | 10 | B | $15,000 | $25,000 | | H | 9 | 8 | D, F | $12,000 | $18,000 | | I | 7 | 6 | G, H | $10,000 | $15,000 | **Explanation:** - **Activities**: Each activity is labeled from A to I. - **Normal Time**: The standard duration required to complete each activity. - **Crash Time**: The reduced time required to complete each activity at an additional cost. - **Immediate Predecessors**: Activities that must be completed before the current activity can start. - **Normal Cost**: The estimated cost for completing the activity in its normal time. - **Crash Cost**: The cost incurred for completing the activity in the reduced crash time. This table is utilized for project management decisions, helping Kelly’s team weigh the benefits of reducing project time against the increase
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