The time to replace vehicle wiper blades at a service center was monitored using a mean and a range chart. six samples of n = 20 observations have been obtained and the sample means and ranges computed:

Suppose a holiday inn hotel has annual fixed costs applicable to its rooms of $1.2 million for its 300-room hotel, average daily room rents of $50, and average variable costs of $10 for each room rented. it operates 365 days per year. the amount of operating income on rooms, assuming an occupancy* rate of 80% for the year, that will be generated for the entire year is *occupancy = % of rooms rented

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.

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."