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4.Fnd uieBrcalustvi5. Find the least value of 3x +4y for x, y > 0 subject to the condition xy 6-10 |
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Answer» Arithmetic Mean of (3x/2, 3x/2, 4y/3, 4y/3, 4y/3) >= Geometric Mean of (3x/2, 3x/2, 4y/3, 4y/3, 4y/3) => (3x/2+3x/2+4y/3+4y/3+4y/3)/5 >= (3/2*3/2*4/3*4/3*4/3*6)^(1/5) => (3x + 4y)/5 >= (2^5)^(1/5) => (3x + 4y)/5 >= 2 => (3x + 4y) >=10=> Minimum Value of (3x + 4y) = 10 |
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