Question

2. A marketing manager wants to assign four regions to four different salesmen. The salesmen differ in their efficiency and territories also differ in potentiality. An estimated sale (in Ks, 000s) by different sales men in the four territories are given below.
Territory
Salesman
X Y Z W
A 16 13 17 23
B 7 12 37 18
C 10 25 14 9
D 25 27 18 25

Determine an optimal assignment schedule for maximum sales.

Answer 1

The determination of the optimal assignment schedule for maximum sales is as follows:

Optimal Assignment Schedule

Territory                              Salesman          Maximum

                                   X        Y       Z      W       Sales

A                                                            23        23

B                                                   37                 37

C                                         27                          27

D                                 25                                 25

Max Sales Achieved 25   27     37    23        112

What is an optimal assignment schedule?

An optimal assignment schedule is the assignment schedule that achieves the objective function, which is the maximization of sales revenue according to the efficiency of salesmen and the market potentiality of the territories.

The maximum achievable sales is Ks 112,000, which is also equal to the maximum sales achieved through the optimal assignment schedule determined above.

Data and Calculations:

Sales per Territory and Salesman

Territory            Salesman        Maximum

                     X    Y       Z    W       Sales

A                   16   13     17   23         23

B                    7    12   37    18         37

C                  10   25    14     9        25

D                 25    27   18    25       27

Max Sales Achievable                112

Thus, to achieve the maximum sales revenue, the marketing manger should assign Salesman X to Territory D, Salesman Y to Territory C, Salesman Z to Territory B, and Salesman W to Territory A.

Learn more about the optimal assignment schedule technique at https://brainly.com/question/26165810

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