Q4 of 97 Page 1376

Minimize Z = 2x + 3y, subject to the constraints
x _≥ 0, y _≥ 0, x + 2y _≥ 1 and x + 2y _≤ 10.

The feasible region determined by the x _≥ 0, y _≥ 0, x + 2y _≥ 1 and x + 2y _≤ 10 is given by

The corner points of the feasible region is A(0,), B(0,5), C(10,0), D(1,0).The value of Z at corner points are

The minimum value of Z is at point A(0,).

Find the minimum value of Z = 3x + 5y, subject to the constraints

- 2x + y _≤ 4, x + y _≥ 3, x - 2y _≤ 2, x _≥ 0 and y _≥ 0

Find the minimum value of Z = 3x + 5y, subject to the constraints

- 2x + y _≤ 4, x + y _≥ 3, x - 2y _≤ 2, x _≥ 0 and y _≥ 0

Minimize Z = 2x + 3y, subject to the constraints

x _≥ 0, y _≥ 0, x + 2y _≥ 1 and x + 2y _≤ 10.

Maximize Z = 3x + 5y, subject to the constraints

X + 2y _≤ 2000, x + y _≤ 1500, y _≤ 00, y _≤ 600, x _≥ 0 and y _≥ 0.

Minimize Z = 2x + 3y, subject to the constraintsx ≥ 0, y ≥ 0, x + 2y ≥ 1 and x + 2y ≤ 10.