4-7 - 4.7 Exercises for Optimization Problems 1. Find the...

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4.7 Exercises for Optimization Problems 1. Find the greatest possible value of xy given that and x y are both positive and 40. xy += A) 200 B) 160 C) 400 D) 320 Ans: (C) 2. What is the smallest perimeter possible for a rectangle whose area is to be 28 square meters? A) 27 m e t e r s B) 87 m e t e r s C) 56 meters D) 2 7 square meters Ans:(B) 3. Find the largest possible area for a rectangle with base on the x -axis and upper vertices on the curve 2 4. y x =− A) 24 2 B) 3 9 64 C) 16 D) 82 Ans: (B) 4. Find the largest possible area for a rectangle inscribed in a circle of radius 4. A) 20 B) 16 C) 40 D) 32 Ans: (D)
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5. One side of a rectangular field is bounded by a straight river. The other three sides are bounded by straight fences. The total length of the fence is 800 feet. Determine the dimensions of the field given that its area is a maximum. A) 200ft*360ft B) 160ft*200ft C) 200ft*400ft D) 20 2 ft* 20 2 ft Ans: (C) 6. You are designing a rectangular poster to contain 256 in 2 of printing with a 3-in.
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This note was uploaded on 09/02/2010 for the course MATH SMUD 206 taught by Professor Condon during the Spring '10 term at UMass (Amherst).

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4-7 - 4.7 Exercises for Optimization Problems 1. Find the...

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