# Solved Problems Operations Management Assignment Help

Problem 2

Personal Nursing Services (PNS) provides individualized nursing care to patients in three hospitals in the metropolitan area of a major city. For a variety of reasons, assignments often change at the last minute in terms of the number of patients to be cared for at each hospital. As a result, the nurses working for PNS report each morning to PNS's headquarters for their daily assignments. PNS then provides vans to take the nurses to their respective hospitals. The vans also pick them up at the end of the day and re-turn the nurses to the headquarters so that they can file their reports before going home. Consequently. the vans make two round trips a day to each hospital. The location of each hospital is located on the grid map at left.
PNS has experienced rapid growth in the demand for its services and is therefore looking to move into larger facilities a Using the center-of-gravity method. determine the ideal location for its new headquarters PNS has submitted a proposal to a fourth hospital that is located at coordinates  X = 20, Y = 5. If it is awarded the contract for this hospital, where should its headquarters building now be located?

Solution:

From looking at the grid map, we calculate the coordinates of each of three hospitals now
being served as follows

Facility Decisions: Location and Capacity

a. Using a spreadsheet and based upon the three hospitals that are currently under contract, we calculate the
coordinates for the new headquarters as follows:

Thus, the new headquarters' location should be at coordinates X = 25.0. Y = 36.7.
b. To add the fourth hospital, we simply update the spreadsheet with the fourth hospital's coordinates and recalculate the X and Y coordinates for the new headquarters location .

Thus, if PNS is awarded the contract for the fourth hospital, then the ideal location for its new headquarters would be at coordinates X = 23.8 and Y = 28.8.