Question: 7. A rectangular pasture for horses will be bounded on one side by a river and on the other three sides by a single-

7. A rectangular pasture for horses will be bounded on one side by a river and on the other three sides by a single- strand electric fence. With 1200 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions? (Calculus MUST be used to solve or no points will be awarded!) 8. A poster is to have an area of 180 in including 1-inch margins at the bottom and sides with and a 2-inch margin at the top. What dimensions will give the largest printed area? (Calculus MUST be used to solve or no points will be awarded!) margin Printed area 9., A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimensions will produce a box with maximum volume? (Calculus MUST be used to solve or no points will be awarded!) 10. Suppose you are building a fence to enclose a potato patch, but you only have 600 feet of fencing to use. You will use part of this fencing to build a fence across the middle of the rectangle to divide the patch into two sections. Find the length and width of the rectangle that will allow you to have the largest possible potato patch. (Calculus MUST be used to solve or no points will be awarded!)

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