The MRP gross requirements for item A are shown here for the next $10$ weeks. Lead time for A is three weeks and setup cost is $$12.$ There is a carrying cost of $$0\mathrm{.}015$ per unit per week. Beginning inventory is $78$ units.

WEEK

$12345678910$

Gross requirements $25458207070205019535$

Use the least total cost or the least unit cost lot$-$sizing method to determine when and for what quantity the first order should be released.