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 nine free seats to each symposium. Nonmembers wishing to attend must pay $$75$ per person. Each attendee receives breakfast, lunch, and free parking. The following are the costs incurred for putting on this event:

Rental cost for the auditorium: $$150$

Registration Processing: $$8\mathrm{.}50$ per person

Speaker Costs: $3$@$$800=$ $$2,400$

Continental Breakfast: $$4\mathrm{.}00$ per person

Lunch: $$7\mathrm{.}00$ per person

Parking: $$5\mathrm{.}00$ per person $($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? 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 $