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KCET2020MathematicsProbability

The feasible region of an LPP is shown in the figure. If z=11 x+7 y , then the maximum value of Z occurs at

Options

  1. A(0,5)
  2. B(3,3)
  3. C(5,0)
  4. D(3,2)

Correct answer

D. (3,2)

Step-by-step solution

Given, maximize z=11 x+7 y Intersecting point of lines x+y=5 and x+3 y=9 is (3,2) . Corner point is B(3,2) For corner points of the feasible region We put, x=0 in x+3 y=9y=3 corner point is A(0,3) and put x=0 in x+y=5 , we get y=5 corner point is C(0,5) The values of z at these corner points are as follows Therefore, maximum value of z is 47 at (3,2) .

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