Bond Brothers, a real estate developer, builds houses in three states. The projected number of units of each model to be built in each state is given by the matrix. Model I NY ( 60 80 120 40 20 30 II III IV A = CT 60 10 МА 10 15 30 5 The profits to be realized are $62,000, $69,000, $77,000, and $80,000, respectively, for each Model I, II, III, and IV house sold. (a) Write a column matrix B representing the profit for each type of house. B = (b) Find the total profit Bond Brothers expects to earn in each state if all the houses are sold. NY $ CT МА $

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section3.1: Matrix Operations
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Bond Brothers, a real estate developer, builds houses in three states. The projected number of units of each model to be built in each state is given by the matrix.
Model
I
II
III
IV
NY
60 80 120 40
A = CT
20 30
60 10
МА
10 15
30
The profits to be realized are $62,000, $69,000, $77,000, and $80,000, respectively, for each Model I, II, III, and IV house sold.
(a) Write a column matrix B representing the profit for each type of house.
В —
(b) Find the total profit Bond Brothers expects to earn in each state if all the houses are sold.
NY
$
CT
$
МА
$
X X X
Transcribed Image Text:Bond Brothers, a real estate developer, builds houses in three states. The projected number of units of each model to be built in each state is given by the matrix. Model I II III IV NY 60 80 120 40 A = CT 20 30 60 10 МА 10 15 30 The profits to be realized are $62,000, $69,000, $77,000, and $80,000, respectively, for each Model I, II, III, and IV house sold. (a) Write a column matrix B representing the profit for each type of house. В — (b) Find the total profit Bond Brothers expects to earn in each state if all the houses are sold. NY $ CT $ МА $ X X X
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