1. Best Ink Printing Co. received an order to print a minimum of 50,000 tickets for a concert. They have three printing machines available to meet the order they received. The set- up cost of these machines and the unit cost/ticket printed using each machine along with their maximum production are provided in the table below: Machine Set-up cost $7,000 $4,000 $5,400 Cost per unit $18 $21 $24 Maximum Production A 30,000 25,000 30,000 B a. Formulate a binary integer linear programming model to find which machines should be used to print the required number of tickets in order to minimize the cost. b. Solve the problem in part a.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
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1. Best Ink Printing Co. received an order to print a minimum of 50,000 tickets for a
concert. They have three printing machines available to meet the order they received. The set-
up cost of these machines and the unit cost/ticket printed using each machine along with their
maximum production are provided in the table below:
Machine
Set-up cost
$7,000
$4,000
$5,400
Cost per unit
$18
$21
$24
Maximum Production
A
30,000
B
25,000
30,000
a. Formulate a binary integer linear programming model to find which machines should be used
to print the required number of tickets in order to minimize the cost.
b. Solve the problem in part a.
Transcribed Image Text:1. Best Ink Printing Co. received an order to print a minimum of 50,000 tickets for a concert. They have three printing machines available to meet the order they received. The set- up cost of these machines and the unit cost/ticket printed using each machine along with their maximum production are provided in the table below: Machine Set-up cost $7,000 $4,000 $5,400 Cost per unit $18 $21 $24 Maximum Production A 30,000 B 25,000 30,000 a. Formulate a binary integer linear programming model to find which machines should be used to print the required number of tickets in order to minimize the cost. b. Solve the problem in part a.
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