Best Homes Ltd. has 100 lots on which to build new houses. Two styles of houses are to be built, Model A and Model B. Better Homes wants to build these houses over the next nine months. During this time, Better Homes will have available 12 000 man-hours of carpentry labour and 13 000 man-hours of mason labour. Each Model A house requires 200 man-hours of carpentry labour and 50 man-hours of mason labour. Each Model B house requires 100 man-hours of carpentry labour and 120 man-hours of mason labour. The profit contribution of a Model A house is projected to be $5,100, while that of a Model B house is projected at $5,000. Better Homes wants to know how many houses of each type to build so as to maximize profit. Formulate this as a linear programming problem.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Best Homes Ltd. has 100 lots on which to build new houses. Two styles of houses are to be built, Model
A and Model B. Better Homes wants to build these houses over the next nine months. During this time,
Better Homes will have available 12 000 man-hours of carpentry labour and 13 000 man-hours of mason
labour. Each Model A house requires 200 man-hours of carpentry labour and 50 man-hours of mason
labour. Each Model B house requires 100 man-hours of carpentry labour and 120 man-hours of mason
labour. The profit contribution of a Model A house is projected to be $5,100, while that of a Model B
house is projected at $5,000. Better Homes wants to know how many houses of each type to build so as
to maximize profit.
Formulate this as a linear programming problem.
Transcribed Image Text:Best Homes Ltd. has 100 lots on which to build new houses. Two styles of houses are to be built, Model A and Model B. Better Homes wants to build these houses over the next nine months. During this time, Better Homes will have available 12 000 man-hours of carpentry labour and 13 000 man-hours of mason labour. Each Model A house requires 200 man-hours of carpentry labour and 50 man-hours of mason labour. Each Model B house requires 100 man-hours of carpentry labour and 120 man-hours of mason labour. The profit contribution of a Model A house is projected to be $5,100, while that of a Model B house is projected at $5,000. Better Homes wants to know how many houses of each type to build so as to maximize profit. Formulate this as a linear programming problem.
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