Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay, due to the crowding and smaller lot sizes. In fact, if it builds 20 houses in this particular development, it can sell them for $360,000 each, but if it builds 70 houses, it will only be able to get $260,000 each. Obtain a linear demand equation. (Let p be the price of a house and q the number of houses.) qlp) = Determine how many houses Pack-Em-In should build to get the largest revenue. houses What is the largest possible revenue? 24

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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8.
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Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay, due to the crowding and smaller lot sizes. In fact, if it builds 20 houses in this particular development, it can sell
them for $360,000 each, but if it builds 70 houses, it will only be able to get $260,000 each. Obtain a linear demand equation. (Let p be the price of a house and q the number of houses.)
q(p) =
Determine how many houses Pack-Em-In should build to get the largest revenue.
houses
What is the largest possible revenue?
$
9.
0/50 Submissions Used
Website Profit You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 1100 log-ons per month. When you lowered the price to $2.50, the demand increased
to 1375 log-ons per month.
(a) Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x.
R(x) =
(b) Your Internet provider charges you a monthly fee of $50 to maintain your site. Express your monthly profit P as a function of the log-on fee x.
P(x) =
Determine the log-on fee you should charge to obtain the largest possible monthly profit (in dollars).
X = $
What is the largest possible monthly profit (in dollars)?
2$
Transcribed Image Text:8. 0/50 Submissions Used Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay, due to the crowding and smaller lot sizes. In fact, if it builds 20 houses in this particular development, it can sell them for $360,000 each, but if it builds 70 houses, it will only be able to get $260,000 each. Obtain a linear demand equation. (Let p be the price of a house and q the number of houses.) q(p) = Determine how many houses Pack-Em-In should build to get the largest revenue. houses What is the largest possible revenue? $ 9. 0/50 Submissions Used Website Profit You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 1100 log-ons per month. When you lowered the price to $2.50, the demand increased to 1375 log-ons per month. (a) Construct a linear demand function for your website and hence obtain the monthly revenue R as a function of the log-on fee x. R(x) = (b) Your Internet provider charges you a monthly fee of $50 to maintain your site. Express your monthly profit P as a function of the log-on fee x. P(x) = Determine the log-on fee you should charge to obtain the largest possible monthly profit (in dollars). X = $ What is the largest possible monthly profit (in dollars)? 2$
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