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SCAN0015 - Answers to Practice Quiz(Section 4.6 1 Minimize...

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Unformatted text preview: Answers to Practice Quiz (Section 4.6) 1. Minimize, Z (x 1)2 (y 1)2 after replacing y with y 2x 4 2 5x2 14x 10 z' 10x 14 0 x 1.4 Now Z " 10 which is greater than zero (concave upward). Therefore, the distance will be minimized when x = 1.4. (1.4 , 1.2) is the point on the line y 2x 4 that is closest to the point (1 , 1) 2. A [w (2x)(8 x2) Minimize, Z 16x 2x3 Z‘ 16 6x2 0 x ZJZ 3 Now, Z " 12x 24% which is less than zero (concave downward). Therefore, the area will be minimized when x 2% . The dimensions are 41/? by? PDF created with pdfFactory trial version www.9dtfactory.com ...
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