(4) For the following LP, r, and r, are basic variables in the optimal tableau, i.e., BV={r3, 12}. 2 = 3r +7r2 + 5rg max s.t. 2r1 +3z2 + r3 S 100 I1, T2, T3 2 0 (a) Write the standard form. (b) Write...

Extracted text: (4) For the following LP, r, and r, are basic variables in the optimal tableau, i.e., BV={r3, 12}. 2 = 3r +7r2 + 5rg max s.t. 2r1 +3z2 + r3 S 100 I1, T2, T3 2 0 (a) Write the standard form. (b) Write all the related matrices or vectors rav, INBV, CaV, CNBV, B, N and b and compute B. (c) For what ranges if just c = 3 changes, the current basis remains optimal? (d) For what ranges if just e = 7 changes, the current basis remains optimal? (e) For what ranges if just by = 50 changes, the current basis remains optimal?