Home
Class 12
MATHS
For an objective function Z = ax + by," ...

For an objective function `Z = ax + by," where "a,b gt 0,` the corner points of the feasible region determined by a set of constraints (linear inequalities) are (0, 20), (10, 10), (30, 30) and (0, 40). The condition on a and b such that the maximum Z occurs at both the points (30, 30) and (0, 40) is:

A

`b-3a=0`

B

`a=3b`

C

`a+2b=0`

D

`2a-b=0`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SAMPLE PAPER 2022

    CBSE MODEL PAPER|Exercise SECTION – B |20 Videos

  • SAMPLE QUESTION PAPER ( MATHEMATICS )

    CBSE MODEL PAPER|Exercise QUESTION|60 Videos

  • SAMPLE PAPER 2022 TERM II

    CBSE MODEL PAPER|Exercise SECTION C|5 Videos

Similar Questions

Explore conceptually related problems

The corner points of a feasible region determined by a system of linear inequations are (0, 0), (4,0), (5,2), (2, 2) and (0, 1). If the objective function is Z = x + y, then maximum of Z occurs at:

The corner points of a feasible region determined by a system of linear inequalities are (20,40),(50,100),(0,200) and (0,50). If the objective funtion Z=x+2y , then maximum of Z occurs at.

Knowledge Check

  • For an objective function Z = ax + by, where a, bgt0 , the corner points of the feasible region determined by a set of constraints (linear inequalities) are (0, 20). (10, 10), (30, 30) and (0, 40). The condition on a and b such that the maximum z occurs at both the points (30, 30) and (0, 40) is:

    A
    `b - 3a =0`
    B
    `a=3b`
    C
    `a+2b=0`
    D
    `2a - b =0 `

  • The corner points of the feasible region determined by the system of linear constraints are (0, 10), (5, 5) (15, 15), (0, 20). Let Z = px + qy , where p,q gt 0 . Then, the condition on p and q so that the maximum of Z occurs at both the points (15, 15) and (0, 20), is

    A
    p=q
    B
    p=2q
    C
    q=2p
    D
    q=3p

  • The corner points of the feasible region determined by the system of linear constraints are (0,10) , (5,5) (25,20),(0,30) Let z = px + qy , where p,qgt0 Condition on p and q so that te maximum of z occurs at both the points (25,20 ) and (0,30) is ………

    A
    5p = 2q
    B
    2p=5q
    C
    p = 2q
    D
    q = 3p

    • Similar Questions

    Explore conceptually related problems

    The corneer points of a feasible region, determined by a system of linear inequations, are (0,0),(1,0),(4,3),(2,1) and (0,1). If the objective function is Z = 2x - 3y, then the minimum value of Z is :

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

    Corner poins of the feasible region determned by the system of linear constrainsts are (0,3), (1,1), and (3,0). Let Z=px+qy. Where p, q lt 0 Condition on p and q, so that the minimum of Z occurs at (3,0) and (1,1) is

    The corner points of the feasible region determined by a system of linear inequations are (0,0),(4,0),(2,4) and (0,5). If the minimum value of Z=ax+by,a, bgt0 occurs at (2,4) and (0,5) ,then :

    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:

    Home
    Profile