Question

1. Maximize p = 2x + 3y subject to

3x + 8y ≤ 54

6x + 4y ≤ 54

x ≥ 0, y ≥ 0.

P=_____

(x , y)= (____ , _____)

2. Maximize p = 2x + y subject to

x + 2y ≤ 11

-x + y ≤ 5
x + y ≤ 5

x ≥ 0, y ≥ 0.

P=_____

(x , y)= (____ , _____)

3. Minimize c = 4x + y + 5z subject to

x + y + z > 100

2x + y + >80

y + z >80

x ≥ 0, y ≥ 0, z >0

C= _________

(x,y,z)= (___ , ____ , ___)