Answer to Question #336752 in Operations Research for kalehiwot

Question

1.A solicitor’s firm employs typists on hourly piece-rate basis for their daily work. There are five typists and their charges and speed are different. According to an earlier understanding, only one job is given to one typist and the typist is paid for a full hour even when s/he works for a fraction of an hour. Find the least cost allocation for the following data:

Typist

Rate/hour (Birr)

Number of Pages Typed/hour

Job

No. of Pages

A

5

12

P

199

B

6

14

Q

175

C

3

8

R

145

D

4

10

S

298

E

4

11

T

178

Assume that the typist is to be paid @ birr 5 per hour, the elements of the cost matrix are obtained as follows. To illustrate, if typist A is given job P, he would require 199/12 =16 hours and, hence, be paid for 17 hours. This results in a cost of Birr 85(17 X 5) for this combination.

Answer 1

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