The manager of the Ewing and Barnes Department Store has four employees available to assign to three departments in the store lamps, sporting goods, and linens. The manager wants each of these departments to have at least one employee, but not more than two. Therefore, two departments will be assigned one employee, and one department will be assigned two. Each employee has different areas of expertise, which are reflected in the daily sales each employee is expected to generate in each department, as follows:   Department Sales Employee Lamps Sporting Goods Linens 1 $130 $150 $ 90 2 275 300 100 3 180 225 140 4 200 120 160   The manager wishes to know which employee(s) to assign to each department in order to maximize expected sales.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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The manager of the Ewing and Barnes Department Store has four employees available to assign to three departments in the store lamps, sporting goods, and linens. The manager wants each of these departments to have at least one employee, but not more than two. Therefore, two departments will be assigned one employee, and one department will be assigned two. Each employee has different areas of expertise, which are reflected in the daily sales each employee is expected to generate in each department, as follows:

 

Department Sales

Employee

Lamps

Sporting Goods

Linens

1

$130

$150

$ 90

2

275

300

100

3

180

225

140

4

200

120

160

 

The manager wishes to know which employee(s) to assign to each department in order to maximize expected sales.

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