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If 5 x+12 y=13 , then the maximum value of 5 x+12 y is :

Options

  1. A12
  2. B120
  3. C20
  4. D13

Correct answer

B. 120

Step-by-step solution

5 x+12 y=13 (5 x+12 y)^2=169 (5 x+12 y)^2+(5 x+12 y)^2 (13)^2+(5 x+12 y)^2=25+144+120( x y+ x y) (5 x+12 y)^2=120 (x-y) -1 (x-y) 1 Maximum value of 5 x+12 y= 120

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