The company is in the process of preparing a cash budget and must determine the expected cash collections by month. To this end, the following information has been assembled: Collections on sales: 50% in month of sale 30% in month following sale 20% in second month following sale The accounts receivable balance on January 1 of the current year was $81,000, of which $50,000 represents uncollected December sales and $31,000 represents uncollected November sales. The total cash collected during January by LaGrange Corporation would be:

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?