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Find two positive numbers that minimize sum of twice the first number plus the second if product of two is 288?

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Posts: 63
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9 years ago
 Find two positive numbers that minimize sum of twice the first number plus the second if product of two is 288? This is calculus optimization problem.Please show how you did it. Thank you. Read 603 times 4 Replies
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Answer accepted by topic starter
asmith2013asmith2013
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Posts: 5
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9 years ago
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wrote...
9 years ago
 Let one number be x.  Then the second is 288/x.Minimize sum = 2*x + 288/xf'(x) = 2 - 288/x^2 = 0x = 12 or -12You specified positive, so the numbers are 12 and 24
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A month ago
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3 weeks ago
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