23 Revenue Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay, because of the crowding and smaller lot sizes. In fact, if it builds 40 houses in this particular develop- ment, it can sell them for $200,000 each, but if it builds 60 houses, it will be able to get only $160,000 each. Obtain a linear demand equation, and hence determine how many houses Pack-Em-In should build to get the largest revenue. What is the largest possible revenue? [HINT: See Example 3.]

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 23EQ: 23. Consider a simple economy with just two industries: farming and manufacturing. Farming consumes...
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23 Revenue Pack-Em-In Real Estate is building a new housing
development. The more houses it builds, the less people will
be willing to pay, because of the crowding and smaller lot
sizes. In fact, if it builds 40 houses in this particular develop-
ment, it can sell them for $200,000 each, but if it builds 60
houses, it will be able to get only $160,000 each. Obtain a
linear demand equation, and hence determine how many
houses Pack-Em-In should build to get the largest revenue.
What is the largest possible revenue? [HINT: See Example 3.]
Transcribed Image Text:23 Revenue Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay, because of the crowding and smaller lot sizes. In fact, if it builds 40 houses in this particular develop- ment, it can sell them for $200,000 each, but if it builds 60 houses, it will be able to get only $160,000 each. Obtain a linear demand equation, and hence determine how many houses Pack-Em-In should build to get the largest revenue. What is the largest possible revenue? [HINT: See Example 3.]
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