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 20 30 60 10 10 15 30 5 A = CT MA The profits to be realized are $64,000, $68,000, $73,000, and $95,000, 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 $ MA $
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 20 30 60 10 10 15 30 5 A = CT MA The profits to be realized are $64,000, $68,000, $73,000, and $95,000, 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 $ MA $
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 19EQ: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two...
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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 |
|
|||||||||||||||||
| A = | CT | |||||||||||||||||
| MA |
The profits to be realized are $64,000, $68,000, $73,000, and $95,000, 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) Find the total profit Bond Brothers expects to earn in each state if all the houses are sold.
| B = |
|
(b) Find the total profit Bond Brothers expects to earn in each state if all the houses are sold.
| NY | $ |
| CT | $ |
| MA | $ |
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