find the solution of LP relaxation by using alternative simplex method and find the dual of this new model

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

MIN 6x1 + 8x2

st

3x1 + x2 >= 5

x1 + 2x2=6

x1, x2  >=  0 and x1, x2 are integer 

i. find the solution of LP relaxation by using alternative simplex method.

ii. By using the solution table, find the nearest value to x.5 then create a cut set. add this to the original model as a new constraint.

iii. find the dual of this new model

iv. solve the dual model by using the simplex method. then find the solution of the primal model by using the simplex table.

v. explain if you have found the integer solutions, why. and write the solution.

vi. draw the graphic for this solution.

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