1) A mobile phone company refurbishes used phones for resale. They currently have 125 phones that require screen repair and 75 phones that require battery repair. Each screen repair costs the company $6 and each battery repair costs $3. The company is limited in the number of repairs it can make, as it has a total of 50 hours of labor that can be devoted to this project, and each screen repair takes 30 minutes, while each battery repair takes 15 minutes. As an alternative to in-house repairs, there are outsourcing options for both screens and batteries. Screen repairs can be outsourced at a cost of $10/phone and battery repairs can be outsourced at a cost of $3/phone. As a quality control measure, the company would like at least 60% of all repairs to be performed in-house. The company is trying to determine the number of each type of repair that should be performed in-house and the number that should be outsourced so that costs are minimized. Write the linear programming formulation that can be used to solve this problem
1) A mobile phone company refurbishes used phones for resale. They currently have 125 phones that require screen repair and 75 phones that require battery repair. Each screen repair costs the company $6 and each battery repair costs $3. The company is limited in the number of repairs it can make, as it has a total of 50 hours of labor that can be devoted to this project, and each screen repair takes 30 minutes, while each battery repair takes 15 minutes. As an alternative to in-house repairs, there are outsourcing options for both screens and batteries. Screen repairs can be outsourced at a cost of $10/phone and battery repairs can be outsourced at a cost of $3/phone. As a quality control measure, the company would like at least 60% of all repairs to be performed in-house. The company is trying to determine the number of each type of repair that should be performed in-house and the number that should be outsourced so that costs are minimized. Write the linear programming formulation that can be used to solve this problem
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1) A mobile phone company refurbishes used phones
for resale. They currently have 125
phones that require screen repair and 75 phones that
require battery repair. Each screen repair
costs the company $6 and each battery repair costs
$3. The company is limited in the number of
repairs it can make, as it has a total of 50 hours of
labor that can be devoted to this project, and
each screen repair takes 30 minutes, while each
battery repair takes 15 minutes. As an
alternative to in-house repairs, there are outsourcing
options for both screens and batteries.
Screen repairs can be outsourced at a cost of
$10/phone and battery repairs can be outsourced
at a cost of $3/phone. As a quality control measure,
the company
would like at least 60% of all
repairs to be performed in-house. The company is
trying to determine the number of each type
of repair that should be performed in-house and the
number that should be outsourced so that
costs are minimized. Write the linear programming
formulation that can be used to solve this
problem
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