SI QUESTION 3: The initial and the optimal table of an LP is given below. Initial Simplex Table Coefficients BV RHS SI 51 1 -5 -2 0 0 0 0 3 5 1 0 30 S2 0 1 2 0 1 14 Optimal Simplex Table Coefficients BV RHS Z X1 SI 52 1 0 19/3 5/3 0 50 XI 0 1 1/3 0 10 0 0 1/3 -1/3 1 4 x2 N 5/3 a. Find the range of b (rhs 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 ofx) in which the basis is unchanged. (8 points) d. What would be the value of new Z, if er would be increased by 5 units. (8 points)