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Maths-

General

Easy

Question

The maximum value of objective function c=2x+3y in the given feasible region, is

29
18
14
15

The correct answer is: 18

The two vertices of given feasible region are (0, 5) and (7, 0) and third vertex can be found by solving the equations $x plus 2 y equals 10$ and $2 x plus y equals 14$ , we get (6, 2) Now at (0, 5) $c equals 2 cross times 0 plus 5 cross times 3 equals 15$ , at (7, 0)
$c equals 2 cross times 7 plus 0 cross times 3 equals 14$ and at (6, 2),
$c equals 2 cross times 6 plus 3 cross times 2 equals 18$
Hence maximum value of objective function $c equals 2 x plus 3 y$ is 18 at point (6, 2).

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