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.

Cornerstones of Cost Management (Cornerstones Series)
4th Edition
ISBN:9781305970663
Author:Don R. Hansen, Maryanne M. Mowen
Publisher:Don R. Hansen, Maryanne M. Mowen
Chapter2: Basic Cost Management Concepts
Section: Chapter Questions
Problem 8CE: Jean and Tom Perritz own and manage Happy Home Helpers, Inc. (HHH), a house-cleaning service. Each...
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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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