Maximum Price of Land The rectangular region R shown in the accompanying figure represents the financial district of a city. The price of land within the district is approximated by the function (x, y) = p(x, y) = 230 15 15(x - 2)² - 10(y - 3)². where p(x, y) is the price of land at the point (x, y) in dollars per square foot and x and y are measured in miles. At what point within the financial district is the price of land highest? 2 y (miles) 10 000 000 000 R N. 2 →x (miles)
Maximum Price of Land The rectangular region R shown in the accompanying figure represents the financial district of a city. The price of land within the district is approximated by the function (x, y) = p(x, y) = 230 15 15(x - 2)² - 10(y - 3)². where p(x, y) is the price of land at the point (x, y) in dollars per square foot and x and y are measured in miles. At what point within the financial district is the price of land highest? 2 y (miles) 10 000 000 000 R N. 2 →x (miles)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Maximum Price of Land The rectangular region R shown in the accompanying figure represents the financial district of a city. The price of
land within the district is approximated by the function
9
p(x, y) = 230 - 15(x - 2)² - 10(y - 3)².
where p(x, y) is the price of land at the point (x, y) in dollars per square foot and x and y are measured in miles. At what point within the financial
district is the price of land highest?
(x, y) =
=([
2
Ay (miles)
000
000
000
R
1
2
-x (miles)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffaa3be14-7f82-4920-95bd-32284dc4e75b%2F835209d3-6dc3-4025-8c06-c6915adcdeb9%2Fnagdc1n_processed.png&w=3840&q=75)
Transcribed Image Text:Maximum Price of Land The rectangular region R shown in the accompanying figure represents the financial district of a city. The price of
land within the district is approximated by the function
9
p(x, y) = 230 - 15(x - 2)² - 10(y - 3)².
where p(x, y) is the price of land at the point (x, y) in dollars per square foot and x and y are measured in miles. At what point within the financial
district is the price of land highest?
(x, y) =
=([
2
Ay (miles)
000
000
000
R
1
2
-x (miles)
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