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.