Management of High Tech Services (HTS) would like to develop a model that will help al- locate their technicians' time between service calls to regular contract customers and new customers. A maximum of 80 hours of fechnician time is available over the two-week plan- ning period. To satisfy cash flow requirements, at least $800 in revenue (per technician) must be generated during the two-week period. Technician time for regular customers generates $25 per hour. However, technician time for new customers only generates an average of $8 per hour because in many cases a new customer contact does not provide billable services. To ensure that new customer contacts are being maintained, the technician time spent on new customer contacts must be at least 60% of the time spent on regular customer contacts. Given these revenue and policy requirements, HTS would like to determine how to allocate techni- cian time between regular customers and new customers so that the total number of customers contacted during the two-week period will be maximized. Technicians require an average of 50 minutes for each regular customer contact and 1 hour for each new customer contact.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter9: Integer Programming
Section: Chapter Questions
Problem 28RP
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what are the constraints
Management of High Tech Services (HTS) would like to develop a model that will help al-
locate their technicians' time between service calls to regular contract customers and new
customers. A maximum of 80 hours of fechnician time is available over the two-week plan-
ning period. To satisfy cash flow requirements, at least $800 in revenue (per technician) must
be generated during the two-week period. Technician time for regular customers generates
$25 per hour. However, technician time for new customers only generates an average of $8
per hour because in many cases a new customer contact does not provide billable services.
To ensure that new customer contacts are being maintained, the technician time spent on new
customer contacts must be at least 60% of the time spent on regular customer contacts. Given
these revenue and policy requirements, HTS would like to determine how to allocate techni-
cian time between regular customers and new customers so that the total number of customers
contacted during the two-week period will be maximized. Technicians require an average of
50 minutes for each regular customer contact and 1 hour for each new customer contact.
Transcribed Image Text:Management of High Tech Services (HTS) would like to develop a model that will help al- locate their technicians' time between service calls to regular contract customers and new customers. A maximum of 80 hours of fechnician time is available over the two-week plan- ning period. To satisfy cash flow requirements, at least $800 in revenue (per technician) must be generated during the two-week period. Technician time for regular customers generates $25 per hour. However, technician time for new customers only generates an average of $8 per hour because in many cases a new customer contact does not provide billable services. To ensure that new customer contacts are being maintained, the technician time spent on new customer contacts must be at least 60% of the time spent on regular customer contacts. Given these revenue and policy requirements, HTS would like to determine how to allocate techni- cian time between regular customers and new customers so that the total number of customers contacted during the two-week period will be maximized. Technicians require an average of 50 minutes for each regular customer contact and 1 hour for each new customer contact.
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