Home
Class 12
MATHS
The corner points of the feasible regio...

The corner points of the feasible region determined by the following sytem of linear inequalities:
`2x+yle10, x+3yle15, x, yge0` are (0,0),(5,0),(3,4) and (0,5). Let `Z=px+qy` where `p,qge0`. Condition on p and q so that the maximum of Z occurs at both (3,4) and (0,5) is

A

p=q

B

`p=2q`

C

`p=3q`

D

`q=3p`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE|6 Videos

  • LINEAR PROGRAMMING

    NCERT GUJARATI|Exercise EXERCISE 12.1 (SHOW THAT THE MINIMUM OF Z OCCURS AT MORE THAN TWO PONTS)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE|15 Videos

  • MATRICES

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 3|15 Videos

Similar Questions

Explore conceptually related problems

The correct points of the feasible region determined by the following system of linear inequalities, 2x+y le 10, x+3y le 15, x, y ge 0 , are (0, 0), (5, 0), (3, 4) and (0, 5). Let Z = px + qy, where p, q gt 0 . Condition on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is ..........

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 . Condition on p and q so that the maximum of z occurs at both the points (15,15) and (0,20) is

Corner points of the feasible region determined by the system of linear constraints are (0, 3), (1, 1) and (3, 0). Let Z = px + qy, where p, q gt 0 . Condition on p and q, so that the maximum of Z occurs at (3, 0) and (1, 1) is ……….

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

The vertices of the feasible region determined by some linear constraints are (0,2), (1,1),(3,3), (1,5) . Let Z=px + qy where p,q gt 0 . The condition on p and q so that the maximum of Z occurs at both the points (3, 3) and (1, 5) is .......

The vertices of the feasible region determined by some linear constraints are (0, 2), (1, 1), (3, 3), (1, 5). Let Z = px + qy where p, q gt 0. The condition on p and q so that the maximum of Z occurs at both the points (3, 3) and (1, 5) is ……..

The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20), (60, 0). The objective function is z = 4x + 3y. Compare the quantity in Column A and Column B

Minimize Z=x+y subject to x-yle1, -x+yle1, x,y ge0

The region formed by the inequalities 2x+3y-5 le 0, 4x-3y+2 le 0" and " x ge 0 ………