Solve part $3$

$(25$ pts$.)$ a$.$ Formulate an Integer Programming model to minimize total cost for the table in problem $2.$

b$.$ Compute the optimal production schedule and resulting cost using the Wagner$-$Whitin algorithm.

c$.$ In a comparison table, compare the total inventory policy cost of the four alternative policies $(2a,3b,$

$2$ d $,$ and $2$ b $,$ and explain briefly under what conditions each would be preferred. $($Those who know

howto compute $3$a can include it in this comparison table.$)$