A renovation of the gift shop at Orlando Amway Center has six activities (in hours). In the following table, the estimates of a, m, and b times for each of the activities are listed: Activity ABCDE a 10 27 18 9 16 17 Activity A m 15 31 18 14 17 20 F Based on the activity time estimates, the expected times for each of the activities are (round your responses to two decimal places): b 19 42 18 19 21 22 Expected Time

Practical Management Science
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Chapter2: Introduction To Spreadsheet Modeling
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**Project Time Estimates: Gift Shop Renovation at Orlando Amway Center**

A renovation of the gift shop at Orlando Amway Center involves six activities, with estimated time durations provided in hours. The table below displays the optimistic (a), most likely (m), and pessimistic (b) time estimates for each activity:

| Activity | a  | m  | b  |
|----------|----|----|----|
| A        | 10 | 15 | 19 |
| B        | 27 | 31 | 42 |
| C        | 18 | 18 | 28 |
| D        | 9  | 14 | 19 |
| E        | 16 | 17 | 21 |
| F        | 17 | 20 | 22 |

To determine the expected time for each activity, employ the formula: 

\[
\text{Expected Time} = \frac{a + 4m + b}{6}
\]

**Expected Times Calculation:**

Round your responses to two decimal places and fill in the expected time for each activity listed in the table below:

| Activity | Expected Time |
|----------|---------------|
| A        |               |

Use the provided table to input your calculations and determine the expected duration for the completion of each activity.
Transcribed Image Text:**Project Time Estimates: Gift Shop Renovation at Orlando Amway Center** A renovation of the gift shop at Orlando Amway Center involves six activities, with estimated time durations provided in hours. The table below displays the optimistic (a), most likely (m), and pessimistic (b) time estimates for each activity: | Activity | a | m | b | |----------|----|----|----| | A | 10 | 15 | 19 | | B | 27 | 31 | 42 | | C | 18 | 18 | 28 | | D | 9 | 14 | 19 | | E | 16 | 17 | 21 | | F | 17 | 20 | 22 | To determine the expected time for each activity, employ the formula: \[ \text{Expected Time} = \frac{a + 4m + b}{6} \] **Expected Times Calculation:** Round your responses to two decimal places and fill in the expected time for each activity listed in the table below: | Activity | Expected Time | |----------|---------------| | A | | Use the provided table to input your calculations and determine the expected duration for the completion of each activity.
Expert Solution
Step 1: Activity expected time:

In the Program Evaluation and Review Technique (PERT), the expected time for an activity is calculated using a weighted average of the optimistic (a), most likely (m), and pessimistic (b) time estimates. This approach aims to provide a more realistic estimate of the time an activity will take, taking into account both the most likely case and potential variations. This expected time estimate is used in PERT to calculate critical paths, and project completion times, and to better manage project scheduling in situations where there's uncertainty or variability in activity durations.

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