Problem 1:

four hospitals located in an urban area are collaborating to establish a centralized blood bank facility that will serve them all. the hospitals are located at the following coordinates: (5,10), (7,6), (4,2), (16,3). the number of deliveries to be made to each hospital each year is estimated as 450, 1200, 300 and 1500, respectively. due to the urban location, rectilinear travel can be assumed.

a) compute the optimal location for the blood bank if the total distance travelled each year is to be minimized, under the assumption that the delivery vehicle will deliver to only one hospital on each trip. (is this realistic? )

b) compute the location that minimizes the maximum rectilinear travel distance from the blood bank to any existing hospital.

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."