The Tamu – Tamu Products Company Ltd. is considering an expansion into
five new sales districts. The company has been able to hire four new
experienced salespersons. Upon analyzing the new sales persons’ past
experience in combination with a personality test which was given to them, the
company assigned a rating to each of the salesperson for each of the districts.
These ratings are as follows:

District
1 2 3 4 5
Sales person
A 92 90 94 91 83
B 84 88 96 82 81
C 90 90 93 86 93
D 78 94 89 84 88
The company knows that with four salespersons, only four of the five potential
districts can be covered.
Required:
(i) The four districts that the salespersons should be assigned to in order to
maximize the total of the ratings. (6 marks)
(ii) Maximum total rating. (8 marks)