Home
Class 12
MATHS
The occurs point of the feasible region ...

The occurs point of the feasible region for an L.P.P. are (0, 3), (1, 1) and (3, 0). If objective function is `Z =px+qy,p,qgt0`, then the condition on p and q so that the minimum of Z occurs at (3, 0) and (1, 1) is

A

`p=2q`

B

`p=q/(2)`

C

`p=3q`

D

`p=q`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ISC QUESTIONS PAPER 2020

    ICSE|Exercise Section - C |12 Videos
  • LINEAR REGRESSION

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

Similar Questions

Explore conceptually related problems

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 determine by the system of linear constrainsts are (0,10) ,(5,5) ,(15,15),(0,20),Let Z=px +qy , where p,q gt0. Conditions on p and q so that the maximum of Z occurs at the point (15,15) and (0,20) is

Corner points of the feasible region for an LPP are (0,2),(3,0),(6,0),(6,8), and (0,5). Let F-4x+6y be the objective function. Determine the minimum valur of F occurs at

If the corner points of the feasible region for an L.P.P. are (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5), then the minimum value of the objective function F=4x+6y occurs at

Corner points of the feasible region for an LPP are ( 0,2) (3,0) ,(6,0),(6,8) and (0,5) Let Z=4 x + 6y be the objective function. The minimum value of F occurs at?

The corner points of the feasible region of an LPP are (0,0), (0,8), (2,7),(5,4),and (6,4). the maximum profit P= 3x + 2y occurs at the point_____.

The corner points of the feasible region determined by the following system of linear inequalities: 2x+ylt=10 ,\ x+3ylt=15 ,\ x ,\ ygeq0\ a r e\ (0,0),\ (5,0),(3,\ 4)a n d\ (0,5)dotL e t\ Z=p x+q y ,\ w h e r e\ p ,\ q >0 . Condition on p\ a n d\ q so that the maximum of Z occurs at both (3,4) and (0,5) is p=q b. p=2q c. p=3q d. q=3p

If the objective function for a L.P.P. is Z=5x+7y and the corner points of the bounded feasible region are (0, 0), (7, 0), (3, 4) and (0, 2), then the maximum value of Z occurs at

If the objective function for an L.P.P. is Z=3x+4y and the corner points for unbounded feasible region are (9, 0), (4, 3), (2, 5), and (0, 8), then the maximum value of Z occurs at

The feasible solution for a LPP is shown in following figure. Let Z=3x-4y be the objective function, Minimum of Z occurs at