$2($Coverage: Module $6,7,8,9,10)$Plant SiteDetroit Toledo DenverKansas CitySt. LouisDistribution CentersBostonAtlantaHouston$52310$B$323$estimated to be $$337,785$ an Management wants to run a model that allows for any plant or set of plants to be open so that total cost es miremized. The variable costs for the propsend plant Following: Detroit $($$$4\mathrm{.}21),$ Toledo $($$$4\mathrm{.}32),$ Denver $($$$3\mathrm{.}11),$ and Kansas City $($$$2\mathrm{.}87).$ The fixed and variable costs for St$.$ LoumThe optimal solution is to keep St$.$ Louis and add Toledo and Kansas City with a total annual cost of $$1,532,035,$Find the second$-$best solution. Use equation $15\mathrm{.}1.$ If required, round your answer to the nearest dollar.The second$-$birst solution has open Toledo, Denver, and St$.$ Louiswith a total annual cost ofHow does it compare to the optimal solution? If required, round your answer to the nearest whole numberThe total annual cost of this second$-$best solution exceeds the total annual cost of the optimal solution by aboutWhy might the second best solution be preferred?$(1)$ With less plants from the second best solution, the effect of a catastrophic event or a labor dispute at these plants wolld be slightly mitigated in compan$($ii$)$ With more plants from the second$-$best solution, the effect of a catastrophic event or a labor dispute at these plants would be slightly mitigated in compu$($iii$)$ With the same number of plants from the second$-$best solution, there is less probability of a catastrophic event or a labor dispute at these plant sites inOption $($ii$)$