At Tobyhanna Army Depot, the shop responsible for giving maintenance to spare control units in radar systems is constantly operating near capacity. Each control unit is used in one of four different radar types. All control units take the same time to receive maintenance, and the shop can only repair 200 units per month.
Radar type Expected demand (1 mo) Std. Deviation (1 mo)
AN/TPS-75 12 12
AN/TRC-170 65 24
AN/TPQ-36 45 30
AN/TPQ-37 28 9
Question:
Considering that current inventory of each item is at zero, how many total units should the manager schedule maintenance this month to minimize the chances that the depot will face short term shortages?