A garage band wants to hold a concert. The expected crowd is 3,000. The average expenditure on concessions is $ 15. Tickets sell for $ 10 each, and the band’s profit is 80% of the gate and concession sales, minus a fixed cost of $ 12,000. Develop a general mathematical model and implement it on a spreadsheet to find their expected profit. Suppose that the expected crowd is normally distributed with a mean of 3,000 and standard deviation of 200. Use the NORM. INV function and a one way data table to conduct a Monte Carlo simulation with 25 trials to find the distribution of the expected profit.