Mayfax Distributors, Inc., has four sales territories, each of which must be assigned a sales representative. From past experience, the firm’s sales manager has estimated the annual cost ($000s) of assigning each sales rep to each sales territory.

Part A: Find the optimal assignment of sales rep to territory so as to minimize overall cost (use as many charts as you need). What is the optimal assignment of reps to territories?

Part B:What is the total cost for this assignment?

Part C: How many optimal assignments are there for this problem? How do you know this? Explain completely.
 

Cost (S000s) Sales territory A B C D Sales Rep Washington. 44 80 52 60 Bonner 60 56 40 72 Fredericks 36 60 48 48 Hodson 52 76 36 40