$3.(4$ pts$)$ Net requirements for a lot$-$sizing problem are $(100,80,75,120,110,100,90,80).$ Setup cost is

$$250,$ and holding cost is $$1\mathrm{.}20.$ You can use the table below to structure your answers for part $($a$),($b$),$

and $($c$).$

$($a$)(0\mathrm{.}5$ pts$)$ Determine the single$-$lot $($SL$)$ and lot$-$for$-$lot $($LFL$)$ release plans $($sizes and periods$)$ and

the cost of each.

$($b$)(0\mathrm{.}5$ pts$)$ Determine the lot release plan and cost using EOQ.

$($c$)(1$ pt$)$ Determine the lot release plan and cost using dynamic lot$-$sizing with EOQ$=198$ and the

Wagner Whitin property.

$($d$)(1\mathrm{.}5$ pts$)$ Determine the cost of the optimal plan using the tabular method. You can use the

table below to structure your solution to this part and part $($e$).$

$($e$)(0\mathrm{.}5pts$ Determine the optimal lot release plan and verify that the corresponding total cost

$($setup costs plus inventory holding costs$)$ is consistent with the result from Part $($d$).$