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The city council proposed to utilize government-owned land with an area of thirteen thousand two hundred fifty four (13254) square meters. One third of the area to plant mango trees while the rest of the land is where an emergency field hospital shall be built. Find the dimensions of the land planted with mango trees with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway.

The city council proposed to utilize government-owned land with an area of thirteen thousand two hundred fifty four (13254) square meters. One third of the area to plant mango trees while the rest of the land is where an emergency field hospital shall be built. Find the dimensions of the land planted with mango trees with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway.

Advanced Engineering Mathematics
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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The city council proposed to utilize government-owned land with an area of thirteen thousand two hundred fifty four (13254) square meters. One third of the area to plant mango trees while the rest of the land is where an emergency field hospital shall be built. Find the dimensions of the land planted with mango trees with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. Please take note of the following requirements: • Make sure to illustrate the given scenario and declare the variable to be used accurately. • For the detailed solution, please do remember that you need to supply transition statements (in words) as you explain the steps in optimization. • To find the relative extrema, you may use the first derivative test (with sign chart) or the second derivative test. • Insert the graph of the function (from GeoGebra) that will model the scenario to illustrate the absolute extrema in the given interval.
Transcribed Image Text:The city council proposed to utilize government-owned land with an area of thirteen thousand two hundred fifty four (13254) square meters. One third of the area to plant mango trees while the rest of the land is where an emergency field hospital shall be built. Find the dimensions of the land planted with mango trees with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. Please take note of the following requirements: • Make sure to illustrate the given scenario and declare the variable to be used accurately. • For the detailed solution, please do remember that you need to supply transition statements (in words) as you explain the steps in optimization. • To find the relative extrema, you may use the first derivative test (with sign chart) or the second derivative test. • Insert the graph of the function (from GeoGebra) that will model the scenario to illustrate the absolute extrema in the given interval.
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