The University of Cincinnati Center for Business Analytics is an outreach center that collaborates with industry partners on applied

research and continuing education in business analytics. One of the programs offered by the center is a quarterly Business

Intelligence Symposium. Each symposium features three speakers on the real$-$world use of analytics. Each corporate member of

the center $($there are currently $10)$ receives five free seats to each symposium. Nonmembers wishing to attend must pay $$65$ per

person. Each attendee receives breakfast, lunch, and free parking. The following are the costs incurred for putting on this event.

$($a$)$ 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. Construct a model for the profit or

loss based on the number of nonmember registrants that also accounts for the fact that, historically, $20\%$ 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 pays for parking only for

those who attend. What is the profit $($in dollars$)$ if each corporate member registers their full allotment of tickets and $133$

nonmembers register?

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$($b$)$ Use a two$-$way data table to show how profit changes as a function of 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 $5\%.$ In which interval of nonmember registrants

does breakeven occur if the percentage of nonmember no$-$shows is $25\%?$

to

$($c$)$ Consider three scenarios.

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 $($in dollars$)?$

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What is the lowest profit $($in dollars$)?$

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