Question: Z Xi QUESTION 3: The initial and the optimal table of an LP is given below. Initial Simplex Table Coefficients BV RHS X2 Si S2

Z Xi QUESTION 3: The initial and the optimal

Z Xi QUESTION 3: The initial and the optimal table of an LP is given below. Initial Simplex Table Coefficients BV RHS X2 Si S2 1 -5 -2 0 0 0 03 5 1 0 30 0 1 2 0 1 14 Optimal Simplex Table Coefficients BV RHS N Si S2 Z X1 X2 SI S2 N Xi 10 19/3 0 15/3 0 0 1/3 5/3 1/3 -1/3 0 0 1 50 10 4 $2 a. Find the range of b (ths of the first constraint) in which the basis is unchanged (8 points) b. Find the shadow price of the first constraint. (8 points) c. Find the range of c (obj.coefficient ofxy) in which the basis is unchanged. (8 points) d. What would be the value of new Z, if c would be increased by 5 units. (8 points)

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