$1-$ Use the given information and the provided table below to answer the following questions.

$\backslash$table$[[$Period$,$Forecast$],[1,220],[2,180],[3,345],[4,400],[5,205]]$

$\backslash$table$[[$Regular time:,$$30$ per unit $(230$ units per period maximum$)],[$Overtime:$,$$$45$ per unit $(40$ units per period maximum$)],[$Subcontracting:$,$Not available$],[$Temp Workers,$$50$ per unit $(40$ units per month maximum$)],[$Beginning Inv.:,$45],[$Holding cost:$,$$$2$ per unit per period$],[$Backorder cost:$,$$$5$ per unit per period$]]$

Develop an aggregate plan that results in the minimum total cost. Note:

There is no hiring$/$firing in this problem

No on hand inventory or backorders at the end of period $5$