A certain firm has four different operations that must be assigned to four locations. The profit (in thousands of dollars) associated with each operation at each location is presented below. The firm's vice president would like to assign the various operations so that the total profit is maximized. Find the appropriate assignments.

Operations Location

1 2 3 4

W 9 11 7 10

X 10 12 6 12

Y 8 10 13 9

Z 12 8 11 10

Using the data in the table, what is the optimal location for Operation Z?