Management of company $B2K$ wishes to level the number of employees needed each day so no hiring or layoffs will be required during the year. Information:

Beginning inventory: $3300$ units

Ending inventory: $0$ units

Inventory holding cost: $$10$ per unit per quarter $($charged for ending stock, not the average inventory$)$

No backorders allowed

No variation in size of workforce allowed

Overall output rate $=50$ units per day per employee

a$.$ What daily production rate will be required to meet the demand forecast and yield zero inventory at the end of quarter $4?$

b$.$ How many employees will be required each day? What are the inventory levels and costs each quarter?