(2) Find an optimal solution for the following transportation problem. The above feasible plan is obtained by applying the Northwest Corner Rule (e.g., 300 from M to V, etc.), and its total cost =350($8)+50($10)+150($12)+250($4)+200($11)+250($14)=$11.800. Iteina tha Ctannina-Ctans mathad to find an antimal nlan The improvement indices below ure determined as follows: row M first, then rows Y and P ) J: 94+1210=7 VB: 611+1210=3 VV:512+108=5 PV:1514+1112+108=2 PT: 614+1112=9 * PJ: 1114+114=4 * the "most negative index" We focus on cell PT (index =9 ). Its closed path is: PT to PB to YB to YT, and back to PT. To increase the quantity in PT, we need to adjust PB down, YB up, and YT down. Therefore, the next improved plan is: Part (d) Find the new TC = (show steps). Part (f) Is the current solution optimal? . Explain (hint: see Online Module 8, p.M8-4)