A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be fenced on three sides, but not along the river. Ornamental fencing costing $8 per metre will be used on the side opposite the river and chain-link fencing costing $3 per metre will be used on the other two sides. Find the exact dimensions of the picinic area that mimize the cost of fencing.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
5. A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be
fenced on three sides, but not along the river. Ornamental fencing costing $8 per metre will be
used on the side opposite the river and chain-link fencing costing $3 per metre will be used on
the other two sides. Find the exact dimensions of the picinic area that mimize the cost of
fencing.
Transcribed Image Text:5. A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be fenced on three sides, but not along the river. Ornamental fencing costing $8 per metre will be used on the side opposite the river and chain-link fencing costing $3 per metre will be used on the other two sides. Find the exact dimensions of the picinic area that mimize the cost of fencing.
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