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.

Jimmy's delicatessen sells large tins of tom tucker's toffee. the deli uses a periodic review system, checking inventory levels every 88 days, at which time an order is placed for more tins. order lead time is 22 days. daily demand is a constant 1515 tins, so average demand during the reorder period and order lead time (1010 days) is 150150 tins. draw a sawtooth diagram. assume that the beginning inventory level is equal to the restocking level and the desired service level is 99.9%. what is the safety stock level? (hint: look at the formula for calculating restocking level.) what is the average inventory level? the safety stock level is average inventory level is __chart: time (10,20,30), tins (0,150) lines touching both axisthe safety stock level is 0 tinsthe average inventory level is 75 tins