The Harriet Hotel in downtown Boston has 100 rooms that rent for $150 per night. It costs the hotel $30 per room in variable costs (cleaning, bathroom items, etc.) each night a room is occupied. For each reservation accepted, there is a 5% chance that the guest will not arrive. If the hotel overbooks, it costs $200 to compensate guests whose reservations cannot be honored. How many reservations should the hotel accept if it wants to maximize the average daily profit? You may model/solve using Microsoft Excel with Analytic Solver, R statistical programming, or Python programming.

Alpha company uses the periodic inventory system for purchase & sales of merchandise. discount terms for both purchases & sales are, 2/10, n30 and the gross method is used. unless otherwise noted, fob destination will apply to all purchases & sales. the value of inventory is based on periodic system. on january 1, 2016, beginning inventory consisted of 350 units of widgets costing $10 each. alpha prepares monthly income statements. the following events occurred during the month of jan.: dateactivitya. jan. 3purchased on account 350 widgets for $11 each. b.jan. 5sold on account 400 widgets for $30 each. paid freight out with petty cash of $150.c. jan. 10purchased on account 625 widgets for $12 each. d.jan. 11shipping cost for the january 10 purchased merchandise was $400 was paid with a cheque by alpha directly to the freight company. e.jan. 12returned 50 widgets received from jan. 10 purchase as they were not the correct item ordered. f.jan. 13paid for the purchases made on jan. 3.g. jan. 21sold on account 550 widgets for $30 each. paid freight out with petty cash of $250.h. jan. 22authorize credit without return of goods for 50 widgets sold on jan. 21 when customer advised that they were received in defective condition. i.jan. 25received payment for the sale made on jan. 5.j. jan. 26paid for the purchases made on jan. 10.k. jan. 31received payment for the sale made on jan. 21.use this information to prepare the general journal entries (without explanation) for the january events. if no entry is required then enter the date and write "no entry required."