Q$1.$ a$)$ Briefly explain the following concepts i$)$ Dominated strateges: b$)$ Dorninant strategies ii$)$ Unbalanced transportation problem iv$)$ Degeneracy in transportation b$)$ A company makes two kinds of leather belts, belt $\backslash ($ A $\backslash )$ and belt $\backslash ($ B $\backslash ).$ Belt $\backslash ($ A $\backslash )$ is a high quality belt and belt $\backslash ($ B $\backslash )$ is a lower quality. The respective profits are $\backslash ($ K $\backslash )$ in $4$ and $\backslash (\backslash$mathrm$\{$K$\}$ s h $3\backslash )$ per belt. The production of each of type A requires twice as much time as bett of type B$,$ and if all betts were of type B the company could make $1,000$ betts per day. The supply of leather is sufficient for only $800$ belts per day $($both A and B combined$),$ belt A requires a fancy buckle and only $400$ of this are available per day. There are only $700$ buchles a dary avaitable for belt $\backslash ($ B $\backslash ).1)$ Eormulate this problem as a linear programming $(5$ Marks$)$ ii$)$ What should be the dally production of each type of belt? Use simplex method to solve $(8$ marks$)$ iii$)$ Interpret your solution as thoroughly as possible Be sure to interpief the shadow prices$/$marginal values for the resources $(4$ Marks$)$