[" 8.Fan sublen th wrint "2=x+2y" कh न्यातमiक "],[x+2y>=100,2x-y<=0,2x+y<=200;x,y>=0]

Show that the minimum of Z occurs at more than two points: Minimise and Maximise Z=x+2y subject to x+2y>=100,2x-y =0

Minimize and Maximize Z=x +2y subject to the constraints x+2y ge 100, 2x-y le 0, 2x+y le 200, x, y ge 0

Maximize and minimize Z = x + 2y subject to the constraints x + 2y ge 100, 2x - y le 0, 2x + y le 200, x, y ge 0 .

Minimise and Maximise Z = x + 2y, subject to constraints are x + 2y ge 100, 2x - y le 0, 2x + y le 200 " and " x,y ge 0 .

The maximum and minimum values of the objective function Z = x + 2y subject to the constraints x+2y ge 100, 2x -y le 0, 2x +y le 200 occurs respectively at

a) Solve the following linear programming problem graphically : Minimize and maximize Z = x + 2y, subject to constraints x+2y ge 100, 2x-y le 0,2x+y

" Minimise "Z=4x+8y" subject to "200x+100y>=4000,x+2y>=50,40x+40y>=1400,x>=0,y>=0" minimum value of "z" is "

Graphically maximize the objective function Z = x + 2y subject to constraints x + 2y ge 100, 2x - y le 0, 2x + y le 200, x ge 0, y ge 0

Equation of the diameter of the circle x^2+y^2-2x+4y=0 which passes through the origin is a.x+2y=0 b.x-2y=0 c. 2x+y=0 d. 2x-y=0.