Consider the trumpet valve casing assembly example that we discussed in class. Suppose that the production capacity each week is $100$ valve casings. Using the rules for lot$-$sizing with capacity constraints and using the feasibility improvement rule that we discussed in class, determine the planned order releases for the valve casings. The setup cost for the valve casing assembly is $$132,$ and the holding cost is $$0\mathrm{.}60$ per assembly per week.