SJ Consulting is owned by two (2) partners who provide various consulting services to their clients. For the next month, Smith and Jones can each work up to 250 hours. Currently, there are five (5) clients requesting services over the next month. The following table shows the approximate amount of time it will take to complete each client's job. Client Abacus Corp. Brighton Inc. Colton Co. Delta Inc. Epperly Corp. Hours Required 100 60 50 120 140 Notice each partner will need to work on more than one client, and some clients may be serviced by more than one partner. SJ Consulting will bill each client based on hourly rates dependent upon which partner works on which client. Those hourly rates are presented in the following table. Epperly Corp. Smith Abacus Corp. $120 Jones $140 Brighton Inc. $130 $110 Colton Co. $150 $120 Delta Inc. $120 $100 $150 $120

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Prepare and run the LP to solve this problem were 1 if partner i is assigned to client j, 0 otherwise

SJ Consulting is owned by two (2) partners who provide various consulting services to their clients. For
the next month, Smith and Jones can each work up to 250 hours. Currently, there are five (5) clients
requesting services over the next month. The following table shows the approximate amount of time it
will take to complete each client's job.
Client
Abacus Corp.
Brighton Inc.
Colton Co.
Delta Inc.
Epperly Corp.
Hours Required
100
60
50
120
140
Notice each partner will need to work on more than one client, and some clients may be serviced by
more than one partner. SJ Consulting will bill each client based on hourly rates dependent upon which
partner works on which client. Those hourly rates are presented in the following table.
Epperly Corp.
Smith
Abacus Corp.
$120
Jones
$140
Brighton Inc.
$130
$110
Colton Co.
$150
$120
Delta Inc.
$120
$100
$150
$120
Transcribed Image Text:SJ Consulting is owned by two (2) partners who provide various consulting services to their clients. For the next month, Smith and Jones can each work up to 250 hours. Currently, there are five (5) clients requesting services over the next month. The following table shows the approximate amount of time it will take to complete each client's job. Client Abacus Corp. Brighton Inc. Colton Co. Delta Inc. Epperly Corp. Hours Required 100 60 50 120 140 Notice each partner will need to work on more than one client, and some clients may be serviced by more than one partner. SJ Consulting will bill each client based on hourly rates dependent upon which partner works on which client. Those hourly rates are presented in the following table. Epperly Corp. Smith Abacus Corp. $120 Jones $140 Brighton Inc. $130 $110 Colton Co. $150 $120 Delta Inc. $120 $100 $150 $120
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