The management of CDC Construction Pioneers have decided to build 900  new apartments in the Kasoa area due to the influx of immigrant workers  into the country. Two Architectural Companies have provided building  plans and technical schematics for the project. Management are happy  with the proposals of both Standard apartment and Deluxe apartment.  After investigating the steps involved in construction, management  determined that each apartment complex built will require some  resources. Management analysed each of the bids and concluded that if  the plans of Standard apartment are built, it requires 0.7 days in  foundation works, 0.5 days in the masonry, 1 day in finishing, and 0.1  days in painting works. Deluxe apartment will require 1 day in foundation  works, 0.83 days in the masonry, 0.67 days in finishing, and 0.25 days in  the painting works. Management estimate that, 630 days for foundation  works, 600 days for masonry, 708 days for finishing and 135 days for  11 painting works will be available to build the apartments. The company  accountant assigned all relevant variable costs and arrived at a rent that  will result in a daily profit contribution of Gh¢ 10 for every Standard  apartment and Gh¢ 9 for every Deluxe apartment built. Management  wants to know how many Standard apartments and Deluxe apartments  to construct a) Express the decision variables for this problem and formulate a linear  programming model for this problem

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Question 5
The management of CDC Construction Pioneers have decided to build 900 
new apartments in the Kasoa area due to the influx of immigrant workers 
into the country. Two Architectural Companies have provided building 
plans and technical schematics for the project. Management are happy 
with the proposals of both Standard apartment and Deluxe apartment. 
After investigating the steps involved in construction, management 
determined that each apartment complex built will require some 
resources. Management analysed each of the bids and concluded that if 
the plans of Standard apartment are built, it requires 0.7 days in 
foundation works, 0.5 days in the masonry, 1 day in finishing, and 0.1 
days in painting works. Deluxe apartment will require 1 day in foundation 
works, 0.83 days in the masonry, 0.67 days in finishing, and 0.25 days in 
the painting works. Management estimate that, 630 days for foundation 
works, 600 days for masonry, 708 days for finishing and 135 days for 
11
painting works will be available to build the apartments. The company 
accountant assigned all relevant variable costs and arrived at a rent that 
will result in a daily profit contribution of Gh¢ 10 for every Standard 
apartment and Gh¢ 9 for every Deluxe apartment built. Management 
wants to know how many Standard apartments and Deluxe apartments 
to construct
a) Express the decision variables for this problem and formulate a linear 
programming model for this problem

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