Answer to Question #298669 in Math for King

Question

1. Solve the following LPP by graphical method

Maximize: 30X1 + 40X2

Subject to: 3X1 + 2X2 ≤ 600

3X1 + 5X2 ≤ 800

5X1 + 6X2 ≤ 1100 X1 ≥ 0, X2 ≥ 0

2. Solve the following LPP by Simplex method

Maximize: X1 + 4X2+5 X3

Subject to: 3X1 + 6X2 +3X3≤ 22

3X1 + 2X2+3X3 ≤ 14

3X1 + 2X2 ≤ 14 X1 ≥ 0, X2 ≥ 0, X3 ≥ 0

3. Solve the following LPP by Big M method

Maximize: 4X1 + X2

Subject to: 3X1 + X2 = 3

4X1 + 3X2 ≥6

X1 + 2X2 ≤ 3 X1 ≥ 0, X2 ≥ 0

4. Solve the following LPP by Two phase method

Maximize: -2X1 - X2

Subject to: X1 + X2 ≥ 2

X1 + X2≤ 4

X1 ≥ 0, X2 ≥ 0

5. Find the dual of the following

Maximize: 2X1 + X2

Subject to: X1 +5 X2 ≤ 10

X1 + 3X2≤ 6

X1 is unrestricted, X2 ≥ 0