$2\mathrm{.}8.$ A company wants to develop a level production plan for a family of products. The open$-$ ing inventory is $550$ units, and a decrease to $200$ units is expected by the end of the plan. The demand for each of the periods is given in what follows. All periods have the same number of working days. How much should the company produce each period? What will be the ending inventories in each period? Do you see any problems with the plan?

openning inventory $550$ Total production

ending inventory $200$ Planned production

Period $123456$ Total

Forecast $13001200800600800900$

Planned Production

Planned Inventory $550$

Your comment on the plan is: