Six new staff have been appointed by ABC store as sales people. Below is a table showing the number of customers each serves. The daily target for the department is 180 clients and each individual has been given a target of 10 clients per day. Name of rep Kate Lerato Mpho Cathy Modishe Tshepo Total Number of new customers 10 5 8 2 11 4 40 % Output per day of the total number of clients (10/40) x 100 = 25 (5/40) x 100 = 12.5 (8/40) x 100 = 20 (2/40) x 100 = 5 (11/40) x 100 = 27.5 (4/40) x 100 = 10 100 % Output per day of the expected 10 clients per day (10/10) x 100 = 100 (5/10) x 100 = 50 (8/10) x 100 = 80 (2/10) x 100 = 20 (11/10) x 100 = 110 (4/10) x 100 = 40 Answer the following questions based on the table above: a. Who serves the most customers in the store? b. Who serves the least customers in the store? c. How many customers in total are served in a day by all the sales people?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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Six new staff have been appointed by ABC store as sales people. Below is a table
showing the number of customers each serves. The daily target for the department
is 180 clients and each individual has been given a target of 10 clients per day.
Name of rep
Kate
Lerato
Mpho
Cathy
Modishe
Tshepo
Total
Number of new
customers
10
5
8
2
11
4
40
% Output per day of the
total number of clients
(10/40) x 100 = 25
(5/40) x 100 = 12.5
(8/40) x 100 = 20
(2/40) x 100 = 5
(11/40) x 100 = 27.5
(4/40) x 100 = 10
100
% Output per day of the
expected 10 clients per day
(10/10) x 100 = 100
(5/10) x 100 = 50
(8/10) x 100 = 80
(2/10) x 100 = 20
(11/10) x 100 = 110
(4/10) x 100 = 40
Answer the following questions based on the table above:
a. Who serves the most customers in the store?
b. Who serves the least customers in the store?
c. How many customers in total are served in a day by all the sales people?
d.
How many customers in total should have been served in a day by all the
sales people?
e. What is the productivity rate (in total) of the store?
f.
If you were the owner of this store, whom of these sales people would you
give a bonus to? Provide a reason to substantiate your answer
Transcribed Image Text:Six new staff have been appointed by ABC store as sales people. Below is a table showing the number of customers each serves. The daily target for the department is 180 clients and each individual has been given a target of 10 clients per day. Name of rep Kate Lerato Mpho Cathy Modishe Tshepo Total Number of new customers 10 5 8 2 11 4 40 % Output per day of the total number of clients (10/40) x 100 = 25 (5/40) x 100 = 12.5 (8/40) x 100 = 20 (2/40) x 100 = 5 (11/40) x 100 = 27.5 (4/40) x 100 = 10 100 % Output per day of the expected 10 clients per day (10/10) x 100 = 100 (5/10) x 100 = 50 (8/10) x 100 = 80 (2/10) x 100 = 20 (11/10) x 100 = 110 (4/10) x 100 = 40 Answer the following questions based on the table above: a. Who serves the most customers in the store? b. Who serves the least customers in the store? c. How many customers in total are served in a day by all the sales people? d. How many customers in total should have been served in a day by all the sales people? e. What is the productivity rate (in total) of the store? f. If you were the owner of this store, whom of these sales people would you give a bonus to? Provide a reason to substantiate your answer
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d, e, and f were not answered?

d. How many customers in total should have been served in a day by all the sales people?

e. What is the productivity rate (in total) of the store?

f. If you were the owner of this store, whom of these sales people would you give a bonus to? Provide a reason to substantiate your answer

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