b) Best Homes Ltd. has 100 lots on which to build new houses. Two styles of houses are to be built, Modcl 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.

b) Best Homes Ltd. has 100 lots on which to build new houses. Two styles of houses are to be built, Modcl 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.

Name: (b) Best Homes Ltd. has 100 lots on which to build new houses. Two st
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Description: (b) Best Homes Ltd. has 100 lots on which to build new houses. Two styles of houses are to be built, ModelA 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

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

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Question

(b) 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 problenm.
DFecun

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