The Center for Business Analytics is considering a refund policy for no-shows. No refund would be given for members who do not attend, but nonmembers who do not attend will be refunded 50% of the price. Build a spreadsheet model that calculates a profit or loss based on the number of nonmember registrants. Account for the fact that, historically, 25% of members who registered do not show and 10% of registered nonmembers do not attend. The center pays the caterer for breakfast and lunch based on the number of registrants (not the number of attendees). However, the center only pays for parking for those who attend. What is the profit if each corporate member registers their full allotment of tickets and 127 nonmembers register? If required, round your answers to two decimal places.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**(b)** Use a two-way data table to show how profit changes as a function of the number of registered nonmembers and the no-show percentage of nonmembers. Vary the number of nonmember registrants from 80 to 160 in increments of 5 and the percentage of nonmember no-shows from 10% to 30% in increments of 2%. In which interval of nonmember registrants does breakeven occur if the percentage of nonmember no-shows is 22%?

Breakeven appears in the interval of [_____ ] to [_____ ] registered nonmembers.

**(c) Consider three scenarios:**

|                            | Base Case | Worst Case | Best Case |
|----------------------------|-----------|------------|-----------|
| % of Members Who Do Not Show | 25%       | 50%        | 12%       |
| % of Nonmembers Who Do Not Show | 10%   | 30%        | 5%        |
| Number of Nonmember Registrants | 140   | 135        | 150       |

All other inputs are the same as in part (a). Use Scenario Manager to generate a summary report that gives the profit for each of these three scenarios. What is the highest profit? What is the lowest profit? If required, round your answers to two decimal places. For subtractive or negative numbers use a minus sign.

The highest profit is $[_____ ].

The lowest profit is $[_____ ].
Transcribed Image Text:**(b)** Use a two-way data table to show how profit changes as a function of the number of registered nonmembers and the no-show percentage of nonmembers. Vary the number of nonmember registrants from 80 to 160 in increments of 5 and the percentage of nonmember no-shows from 10% to 30% in increments of 2%. In which interval of nonmember registrants does breakeven occur if the percentage of nonmember no-shows is 22%? Breakeven appears in the interval of [_____ ] to [_____ ] registered nonmembers. **(c) Consider three scenarios:** | | Base Case | Worst Case | Best Case | |----------------------------|-----------|------------|-----------| | % of Members Who Do Not Show | 25% | 50% | 12% | | % of Nonmembers Who Do Not Show | 10% | 30% | 5% | | Number of Nonmember Registrants | 140 | 135 | 150 | All other inputs are the same as in part (a). Use Scenario Manager to generate a summary report that gives the profit for each of these three scenarios. What is the highest profit? What is the lowest profit? If required, round your answers to two decimal places. For subtractive or negative numbers use a minus sign. The highest profit is $[_____ ]. The lowest profit is $[_____ ].
**University of Cincinnati Center for Business Analytics**

The University of Cincinnati Center for Business Analytics collaborates with industry partners on applied research and continuing education in business analytics. The center offers a quarterly Business Intelligence Symposium, featuring three speakers who discuss the real-world use of analytics. Each corporate member of the center (currently 10 members) receives thirteen free seats at each symposium. Nonmembers must pay $75 per person to attend, which includes breakfast, lunch, and free parking. Below are the costs associated with the event:

- **Rental cost for the auditorium:** $150
- **Registration Processing:** $8.50 per person
- **Speaker Costs:** 3 speakers at $800 each = $2,400
- **Continental Breakfast:** $4.00 per person
- **Lunch:** $7.00 per person
- **Parking:** $5.00 per person

**Scenario (a):**

The Center is considering a refund policy for no-shows. Members who do not attend will not receive a refund, but nonmembers who do not attend will be refunded 50% of their price. Develop a spreadsheet model calculating profit or loss based on the number of nonmember registrants, considering these historical no-show rates: 25% for members and 10% for nonmembers. Note that the center pays for catering based on the number of registrants, while parking is paid only for those who attend. Determine the profit if each corporate member uses their full allotment of tickets and 127 nonmembers register. Round your answers to two decimal places.

Profit: $______

**Scenario (b):**

Utilize a two-way data table to show how profit varies with the number of registered nonmembers and the non-show percentage of nonmembers. Adjust the number of nonmember registrants from 80 to 160 in increments of 5 and the no-show percentage from 10% to 30% in increments of 2%. Identify the interval in which nonmember registrants break even if the no-show percentage is 22%.

Breakeven occurs in the interval of _____ to _____ registered nonmembers.
Transcribed Image Text:**University of Cincinnati Center for Business Analytics** The University of Cincinnati Center for Business Analytics collaborates with industry partners on applied research and continuing education in business analytics. The center offers a quarterly Business Intelligence Symposium, featuring three speakers who discuss the real-world use of analytics. Each corporate member of the center (currently 10 members) receives thirteen free seats at each symposium. Nonmembers must pay $75 per person to attend, which includes breakfast, lunch, and free parking. Below are the costs associated with the event: - **Rental cost for the auditorium:** $150 - **Registration Processing:** $8.50 per person - **Speaker Costs:** 3 speakers at $800 each = $2,400 - **Continental Breakfast:** $4.00 per person - **Lunch:** $7.00 per person - **Parking:** $5.00 per person **Scenario (a):** The Center is considering a refund policy for no-shows. Members who do not attend will not receive a refund, but nonmembers who do not attend will be refunded 50% of their price. Develop a spreadsheet model calculating profit or loss based on the number of nonmember registrants, considering these historical no-show rates: 25% for members and 10% for nonmembers. Note that the center pays for catering based on the number of registrants, while parking is paid only for those who attend. Determine the profit if each corporate member uses their full allotment of tickets and 127 nonmembers register. Round your answers to two decimal places. Profit: $______ **Scenario (b):** Utilize a two-way data table to show how profit varies with the number of registered nonmembers and the non-show percentage of nonmembers. Adjust the number of nonmember registrants from 80 to 160 in increments of 5 and the no-show percentage from 10% to 30% in increments of 2%. Identify the interval in which nonmember registrants break even if the no-show percentage is 22%. Breakeven occurs in the interval of _____ to _____ registered nonmembers.
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