n open field is bounded by a lake with a straight shoreline. A rectangular enclosure is to be constructed using $00 ft of fencing along three sides and the lake as a natural boundary on the fourth side. What dimensions will maximize the enclosed area? What is the maximum area? Hints: Using the fact dial the available fencing is 500 ft to express on the dimension in terms of the other. Then the area in terms of one variable. Plot the graph of the area to get a rough idea of where is the maximum area is attained. Compute its critical point of the area and use it to find the value of length and width that maximize the area.
n open field is bounded by a lake with a straight shoreline. A rectangular enclosure is to be constructed using $00 ft of fencing along three sides and the lake as a natural boundary on the fourth side. What dimensions will maximize the enclosed area? What is the maximum area? Hints: Using the fact dial the available fencing is 500 ft to express on the dimension in terms of the other. Then the area in terms of one variable. Plot the graph of the area to get a rough idea of where is the maximum area is attained. Compute its critical point of the area and use it to find the value of length and width that maximize the area.
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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An open field is bounded by a lake with a straight shoreline. A rectangular enclosure is to be constructed using $00 ft of fencing along three sides and the lake as a natural boundary on the fourth side. What dimensions will maximize the enclosed area? What is the maximum area? Hints: Using the fact dial the available fencing is 500 ft to express on the dimension in terms of the other. Then the area in terms of one variable. Plot the graph of the area to get a rough idea of where is the maximum area is attained. Compute its critical point of the area and use it to find the value of length and width that maximize the area.
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