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The corner points of the feasible region...

The corner points of the feasible region of the system of linear inequations `x+yge2,x+yle5,x-yge0,x,yge0` are :

A

(0, 0), (2,0), (1, 1)

B

(0,2), (0,5), (1, 1), (2.5, 2.5)

C

(1, 1), (2.5, 2.5), (5,0), (2, 0)

D

(0,0), (1, 1), (0, 2)

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Knowledge Check

  • The feasible region of the system of linear inequations x+2yle120,x+yge60,x-2yge0,x,yge0 :

    A
    is bounded and lies in first quadrant .
    B
    is unbounded and lies in first quadrant.
    C
    does in first quadrant .
    D
    does not exist.

  • The carner points of the feasible region formed by the system of linear inequations x-yge-1,-x+yge0,x+yle2andx,yge0 , are

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

  • The vertex of the linear inequalities 2x+3yle6, x+4yle4,xge0,yge0 is

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

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