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KCET2019MathematicsLinear Programming

The shaded region in the figure is the solution set of the inequations

Options

  1. A( 4 x+5 y 20,3 x+10 y 30, x 6, x, y 0 )
  2. B( 4 x+5 y 20,3 x+10 y 30, x 6, x, y 0 )
  3. C( 4 x+5 y 20,3 x+10 y 30, x 6, x, y 0 )
  4. D( 4 x+5 y 20,3 x+10 y 30, x 6, x, y 0 )

Correct answer

C. ( 4 x+5 y 20,3 x+10 y 30, x 6, x, y 0 )

Step-by-step solution

Equation of line (A B: x 5 + y 4 =1 4 x+5 y=20 ) Equation of line CD: ( x 10 + y 3 =1 3 x +10 y =30 ) Equation of line ( EF : x =6 ) Here we can see the shaded area above the line (A B ), Below the line (C D ) and Left of line EF ( 4 x+5 y 20,3 x+10 y 30, x 6, x, y 0 )

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