Math, asked by siddharth102004, 1 year ago

numerical on linear programming

Answers

Answered by kushaagra
1

1.        Maximize Z = 10x1 + 5x2 subject to

4x1 + 5x2  \<100

5x1 + 2x2  \<80

x1 >/  0, x2  >/0

2.        Maximize Z = x1 + 4x2 + 5x3      (Constraints, 3 variables and all are  type)

Subject to    3x1 + 3x3 \< 22

x1 + 2x+ 3x3  \<14

3x1 + 2x2  \<14 

x1, x2, x3 >/ 0

3.        Maximize Z = 40x1 + 24x2      Total cost

Subject to    20x1 + 50x2  >/4800

80x1 + 50x+ 3x3 >/ 14

x1, x2 >/ 0

 4.        Solve the following Linear Programming problem by Simplex Method using the artificial variables.

Maximize Z = 3x1 + 5x2 

Subject to    x1 + x3 = 4

x2 + x= 0

3x1 + 2x+ x5 = 12

x1, x2, x3, x4, x5 >/ 0 


siddharth102004: Thank you
siddharth102004: Can you please tell me how to solve it
kushaagra: Ans1: x1 = 200/17, x2 = 180/17 and maximum Z =2900/17 )
(Ans2 : x1 = 0, x2 = 7, x3 = 0 and maximum profit Z = 28)
Ans3 : x1 = 0, x2 = 144, S1 = 2400, S2 = 0 and Z = 24 x 144 = 3456
Ans4 : There is degeneracy in the solution because one of the variable in the basis is x4 = 0, which is zero.
siddharth102004: Actually I am new to this topic so please can you give me full solution at least for 1st question
kushaagra: no i cant give u that
kushaagra: i dont know this topic my friend gave me this
siddharth102004: All right
siddharth102004: and thanks
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