time available for the month. What combination of printers should be produced to maximize profits?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 73P
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6-40 A photocopy machine company produces three types
of laser printers—the Print Jet, the Print Desk, and
the Print Pro-the sale of which earn profits of $60,
$90, and $73, respectively. The Print Jet requires
2.9 hours of assembly time and 1.4 hours of testing
time. The Print Desk requires 3.7 hours of assem-
bly time and 2.1 hours of testing time. The Print Pro
requires 3 hours of assembly time and 1.7 hours of
testing time. The company wants to ensure that Print
Desk constitutes at least 15% of the total production
and Print Jet and Print Desk together constitute at
least 40% of the total production. There are 3,600
hours of assembly time and 2,000 hours of testing
time available for the month. What combination of
printers should be produced to maximize profits?
Transcribed Image Text:6-40 A photocopy machine company produces three types of laser printers—the Print Jet, the Print Desk, and the Print Pro-the sale of which earn profits of $60, $90, and $73, respectively. The Print Jet requires 2.9 hours of assembly time and 1.4 hours of testing time. The Print Desk requires 3.7 hours of assem- bly time and 2.1 hours of testing time. The Print Pro requires 3 hours of assembly time and 1.7 hours of testing time. The company wants to ensure that Print Desk constitutes at least 15% of the total production and Print Jet and Print Desk together constitute at least 40% of the total production. There are 3,600 hours of assembly time and 2,000 hours of testing time available for the month. What combination of printers should be produced to maximize profits?
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