3. A concert promoter is planning a single performance of a distinguished pianist play- ing suites for keyboard written by G.F. Handel. Several venues are being considered, all of which have a grand piano, and are ac- cessible for those with physical challenges. Because of the COVID-19 pandemic, which causes a need for physical distanc- ing, each venue can only admit 25% of its seating capacity. For example, while the Cathedral has a capacity for 1000 people in normal times, during the pandemic only 250 people may be admitted. Each venue charges a rental fee, plus a cleaning surcharge per person in attendance beyond a threshold number. For example, sup- pose they rent the Basilica, and 265 people show up. The threshold is 225, so they pay a cleaning surcharge based on 265 225 = 40 people. The seating capacities, rental fees, and cleaning surcharges are: Cleaning Surcharge Venue Capacity Rent Threshold per Person Church 800 $300 100 $3.00 Cathedral 1000 $600 125 $3.75 Concert Hall 1200 $900 200 $4.00 Basilica 1400 $1300 225 $3.25 Cleaning Surcharge Venue Capacity Rent Threshold per Person Church 800 $300 100 $3.00 Cathedral 1000 $600 125 $3.75 Concert Hall 1200 $900 200 $4.00 Basilica 1400 $1300 225 $3.25 All tickets sell for $60, but $12 of this is a ticket agency fee and taxes. The promotor believes that the demand will be as follows: 150 15%; 200 25%; 250 30%; 300 20%; and 350 10%. Aside from the aforementioned costs, there will be $9,000 required for professional fees, advertising, and so on. Either by hand or by using Excel, make a payoff matrix to determine which venue the promoter should rent. All numbers mentioned in this question must be in their own cells, with the formulas in the other cells referencing these data cells