A homeowner wants to build, along his driveway, a garden surrounded by a fence. A rectangular garden has been enclosed along a side of a driveway. The enclosure is bordered by a length of fence along the driveway (a long side), another long side of fence, and two short sides of fence. The side along the driveway is labeled "$6 per foot" while the remaining three sides are labeled "$2 dollars per foot." If the garden is to be 1,800 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions (in ft) that will minimize the cost.
A homeowner wants to build, along his driveway, a garden surrounded by a fence. A rectangular garden has been enclosed along a side of a driveway. The enclosure is bordered by a length of fence along the driveway (a long side), another long side of fence, and two short sides of fence. The side along the driveway is labeled "$6 per foot" while the remaining three sides are labeled "$2 dollars per foot." If the garden is to be 1,800 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions (in ft) that will minimize the cost.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.7: Costs, Income, And Value Problems
Problem 9P
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A homeowner wants to build, along his driveway, a garden surrounded by a fence.
A rectangular garden has been enclosed along a side of a driveway. The enclosure is bordered by a length of fence along the driveway (a long side), another long side of fence, and two short sides of fence. The side along the driveway is labeled "$6 per foot" while the remaining three sides are labeled "$2 dollars per foot."
If the garden is to be 1,800 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions (in ft) that will minimize the cost.
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