A company has four territories open, and four salesman available for the assignment. The territories are not equally rich in their sales potential; it is estimated that a typical salesman operating in each territory would bring in the following annual sales:

Territory: I II III IV Annual sales ` 60,000 50,000 40,000 30,000 Four salesman are also considered to differ in their ability. It is estimated that working under the same conditions, their yearly sales would be proportional as follows:
Salesman A B C D Proportion 7 5 5 4 If the criterion is to maximize expected total sales, then the intuitive answer is to assign the best sales man to the richest territory, the next best salesman to the second richest and so on. Verify this answer by the assignment technique.