Home
Class 12
MATHS
The objective function, z=4x(1)+5x(2), s...

The objective function, `z=4x_(1)+5x_(2),` subject to
`2x_(1)+x_(2)ge7,2x_(1)+3x_(2)le15,x_(2)le3,x_(1),x_(2)ge0`
has minimum value at the point

A

(a) On X - axis

B

(b) On Y - axis

C

(c) At the origin

D

(d) On the line parallel to X - axis

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The objective function z = x_1 + x_2 , subject to x_1 + x_2 leq 10,-2x_1 + 3x_2 leq 15,x_1 leq 6,x_1 ,x_2 geq 0 has maximum value of the feasible region.

The LPP problem Max z=x_(1)+x_(2) such that -2x_(1)+x_(2)le1,x_(1)le2,x_(1)+x_(2)le3 and x_(1),x_(2)ge0 has

The minimum value of z=2x_(1)+3x_2 subjected to the constraints 2x_(1)+7x_(2)ge22,x_(1)+x_(2)ge6,5x_(1)+x_(2)ge10 and x_(1),x_(2)ge0 , is

The constraints -x_(1)+x_(2)lt 1, -x_(1)+3x_(2)le9, x_(1), x_(2)gt, 0 defines on

The linear programming problem : Maximize z=x_(1)+x_(2) subject to constraints x_(1)+2x_(2)le2000,x_(1)+x_(2)le1500,x_(2)le600,x_(1)ge0 has

By graphical method, the solutions of linear programming problem maximise Z=3x_(1)+5x_(2) subject to constraints 3x_(1)+2x_(2) le 18, x_(1) le 4, x_(2) le 6, x_(1) ge0,x_(2) ge 0 are

For the constraint of a linear optimizing function z=x_(1)+x_(2) , " given by " x_(1)+x_(2)le1,3x_(1)+x_(2)ge3 and x_(1),x_(2)ge0