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A Rancher Is Going to Build a 3-Sided Cattle Enclosure

Question 603

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A rancher is going to build a 3-sided cattle enclosure with a divider down the middle as shown to the right. The cost per foot of the 3 side walls will be $8/foot, while the back wall, being taller, will be $16/foot. If the rancher wishes to enclose an area of 15,000 ft2, what dimensions of the enclosure will minimize his cost? A rancher is going to build a 3-sided cattle enclosure with a divider down the middle as shown to the right. The cost per foot of the 3 side walls will be $8/foot, while the back wall, being taller, will be $16/foot. If the rancher wishes to enclose an area of 15,000 ft<sup>2</sup>, what dimensions of the enclosure will minimize his cost?

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The area of the enclosure is A...

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