(2) Find an eptimal solution for the following transportation problem. The above feasible plan is obtained by applying the Narthent Corner Rule ( c,g,300 from M to V, etc.), and its total cost 300($6)+50($8)+150($10)+250($2)+200($9)+250($12)$9.000 The improvement indices below e determined as follows: ow M first, then rows Y and P ) U:72+108=Z(B:49+108=53V:310+86=85V:1312+910+8=2T:412910=9J:912+92=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)