5 Practice Questions on Linear Programming (Part 2)


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6.         Solve the following maximization LPP by the simplex method

Maximize       Z = 2000 x1+ 1800 x2           Subject to:    x1+ x2  \< 10

1000 x1+ 800 x2 \< 9000

x1, x2 ≥ 0

 

7.         Using simplex method to solve the following LPP

Maximize       Z = 3x1 + 4x2                                  Subject to:     2x1 \< 10,

3x2 \< 12,

x1, x2 >/ 0

 

8.         Using simplex method to solve the following LPP

Maximize       Z = 15x1 + 30x2                            Subject to:     4x1 + 5x2 \< 200

2x1 + 4x2 \< 240

x1 \< 40

x2 \< 28

x1, x2 >/ 0

 

9.         Using simplex method to solve the following LPP

Maximize       Z = 50x1 + 70x2                            Subject to:     120x1 + 120x2 \< 8400

30x1 + 60x2 \< 3000

80x1 + 40x2 \<4800

x1, x2 >/0

 

10.       A business problem is formulated and expresses below as LPP. Solve it by simplex
method.

Maximize       Z = X1 + X2                                      Subject to:     8x1 + X2 \< 200

X1 + 2X2 \< 100

x1, x2 >/0


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