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Which of the folowing should be the feas...

Which of the folowing should be the feasible region of the system of linear lnequalities x + 2y `lt= 12 , 2x + y lt= 12 , 4x +5y gt= 20 ` and `x,y gt= 0` ?

A

`R_(1) `

B

`R_(2)`

C

`R_(3)`

D

`R_(4)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Which of the following is a corner point of the feasible region of system of linear inequations 2x + 3y lt=6 , x + 4y lt= 4 and x, y gt= 0 ?

    A
    `(1,0)`
    B
    `(1,1) `
    C
    `(0,3) `
    D
    `((12)/(5) , (2)/(5))`

  • the corner points of the feasible region of a system of linear inequalities 3x + 5y le 15, 5x + 2y ge 10, x ge 0, y ge 0 , are:

    A
    `(2,0), ((20)/(19), (45)/(19)), (0,3)`
    B
    `(0,3), ((20)/(19), (45)/(19)), (0,5)`
    C
    `(2,0), ((20)/(19), (45)/(19)), (5,0)`
    D
    `(0,0), (2,0),((20)/(19), (45)/(19)), (0,3)`

  • The graph of the inequality 40x+20y lt 120,x lt0, y lt 0 is

    A
    B
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    D

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