Question

A sales manager wishes to assign four sales territories to four salespersons. The salespersons differ in their ability and skills and consequently the sales expected in each territory are different. The estimates of sales per month for each salesperson in different territories are given below:
Estimated monthly sales
Territory
1 2 3 4
Salesperson
A 20 40 45 30
B 50 40 55 40
C 45 40 42 50
D 48 50 42 45
Find the optimal assignment of the four salespersons to the four different territories and the maximum monthly sales.