Minimise the quantity` Z=x+2y `subject to the constraints: `x+y>=1 x>=0 y>=0` (A) 1 (B) -1 (C) 2 (D) -2

Maximise the function Z=11x+7y , subject to the constraints x le 3, yle 2, x ge 0, y ge 0

Maximise Z=3x+4y, Subjected to the constraints x+y le1, x ge 0, y ge 0

Minimise Z = 3x + 2y subject to the constraints: x+yge8 . . .(1) 3x+5ylt=15 . . .(2) xgeq0,ygeq0 . . .(3)

Minimise Z = 6x + 3y, subject to the constraints 4x + y ge 80, x + 5y ge 115, 3x + 2y le 150, x ge 0, y ge 0 .

Minimise Z=13x-15y subject to the constraints x+y le 7, 2x-3y+6 ge 0, x ge 0, x ge 0, and y ge 0

The maximum value of Z=4x+2y subjected to the constraints 2x+3ylt=18 ,\ x+ygeq10 ; x ,\ ygeq0 is a. 36 b. 40 c. 20 d. none of these

Determine the maximum value of Z=11x+7y subject to the constraints 2x+y le 6 , x le 2, x ge 0, y ge 0

Find graphically the minimum value of Z=5x+7y , subject to the constraints given below: 2x+y ge 8, x +2y ge 0 and x, y ge 0

The following line(s) is (are) tangent to the curve y=x^2 - x (A) x-y=0 (B) x+y=0 (C) x-y=1 (D) x+y=1

If the image of the point (x_1, y_1) with respect to the mirror ax+by+c=0 be (x_2 , y_2) then. (a) (x_2-x_1)/a = (a x_1 + b y_1+ c)/(a^(2)+b^(2)) (b) (x_2-x_1)/a = (y_2 - y_1)/b (c) (x_2-x_1)/a = -2 ((a x_1 + b y_1+ c)/(a^(2)+b^(2))) (d) None of these