In this multi-channel funnel report, which two channels have the highest overlap and would benefit from coordinated marketing messaging?

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. there is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. for each concert: i. there are 140 students willing to pay $20. (ii) there are 200 staff members willing to pay $35. (iii) there are 100 faculty members willing to pay $50. a) if the performing arts center can charge only one price, what price should it charge? what are profits at this price? b) if the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? c) if the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

If a hotel has 100 rooms, and each room takes 25 minutes to clean, how many housekeepers working 8-hour shifts does the hotel need at 50 percent occupancy?

Your sister turned 35 today, and she is planning to save $60,000 per year for retirement, with the first deposit to be made one year from today. she will invest in a mutual fund that's expected to provide a return of 7.5% per year. she plans to retire 30 years from today, when she turns 65, and she expects to live for 25 years after retirement, to age 90. under these assumptions, how much can she spend each year after she retires? her first withdrawal will be made at the end of her first retirement year.