this is operations research. please do by hand.

1. Consider the following LP and assume that BV* = {s, .*; *) is the optimal basis. A. Identify the coefficients , . Cz, and Cz, Also vectors Cb, a sub), and the matrix B. B. Using the relevant formulas to find z. BV C. The RHS of the optimal tableau. D. The coefficients in the row zero of the optimal tableau. E. The columns xe. In other words, populate the optimal tableau. J Max z=2x - x 2 + x3 sot. 3x, +X + X = 60 *, -*2+2x3=10 x, + x2-x2=20 X, X2, X zo 2. In the LP of question 1 above, find the range of value of c, for which the current basis BV* = {s, remains optimal. 3. In the problem of question 1, find the range of c, for which the current basis remains optimal. 4. In the problem of question 1, find the range of b, for which the current basis remains optimal. 1. Consider the following LP and assume that BV* = {s, .*; *) is the optimal basis. A. Identify the coefficients , . Cz, and Cz, Also vectors Cb, a sub), and the matrix B. B. Using the relevant formulas to find z. BV C. The RHS of the optimal tableau. D. The coefficients in the row zero of the optimal tableau. E. The columns xe. In other words, populate the optimal tableau. J Max z=2x - x 2 + x3 sot. 3x, +X + X = 60 *, -*2+2x3=10 x, + x2-x2=20 X, X2, X zo 2. In the LP of question 1 above, find the range of value of c, for which the current basis BV* = {s, remains optimal. 3. In the problem of question 1, find the range of c, for which the current basis remains optimal. 4. In the problem of question 1, find the range of b, for which the current basis remains optimal