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Management of High Tech Services (HTS) would like to develop

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by ahmed samir on 27 December 2013

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Transcript of Management of High Tech Services (HTS) would like to develop

Let x = number of hours spent on regular contract customers
y = number of hours spent on new customers.
The problem can be formulated as

max z = 6x1=5 + x2
S.T.

C1 x + y <= 80
C2 25x + 8y >= 800
C3 y - 0.6x >= 0
C4 x , y >= 0



Management of High Tech Services (HTS) would like to develop a model that
will help allocate their technician's time between service calls to regular contract cus-
tomers and new customers. A maximum of 80 hours of technician time is available
over the two-week planning period. To satisfy cash ow 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. To ensure that new customer
contracts are being maintained, the technician time spent on new customer contracts
must be at least 60% of the time spent on regular customer contracts. Given these
revenue and policy requirements, HTS would like to determine how to allocate tech-
nician time between regular customers and new customers so that the total number
of customers contracted during the two-week period will be maximized. Technicians
require an average of 50 minutes for each regular customer contract and 1 hour for
each new customer contract.
a. Develop a linear programming model for the problem
b. Find the optimal solution via Excel
.



Management of High Tech Services (HTS) would like to develop a model that
will help allocate their technician's time between service calls to regular contract cus-
tomers and new customers. A maximum of 80 hours of technician time is available
over the two-week planning period. To satisfy cash ow 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. To ensure that new customer
contracts are being maintained, the technician time spent on new customer contracts
must be at least 60% of the time spent on regular customer contracts. Given these
revenue and policy requirements, HTS would like to determine how to allocate tech-
nician time between regular customers and new customers so that the total number
of customers contracted during the two-week period will be maximized. Technicians
require an average of 50 minutes for each regular customer contract and 1 hour for
each new customer contract.
a. Develop a linear programming model for the problem
b. Find the optimal solution via Excel
.


Let x = number of hours spent on regular contract customers
y = number of hours spent on new customers.
The problem can be formulated as

max z = 6x1=5 + x2
S.T.

C1 x + y <= 80
C2 25x + 8y >= 800
C3 y - 0.6x >= 0
C4 x , y >= 0

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