$1.(10\text{'})$ Process Flexibility: Consider the case of the Ford Motor Company discussed in class. Suppose the company owns $6$ production plants and is selling $6$ models. The capacity at each plant is $100$ per week, and the demands for each model are assumed to be independent and following $\backslash (\backslash$mathcal$\{$N$\}\backslash$left$(100,30^\{2\}\backslash$right$)\backslash )$ truncated above zero. Recall that a dedicated design results in an average sales of around $525$ while a full flexible design results in an average sales of around $570.$ Evaluate the performance of the following two chain designs.