For the following data, calculate the number of workers required for level produc$-$ tion and the resulting month$-$end inventories. Each worker can produce $15$ units per day, and the desired ending inventory is $9000$ units.

Month

$1$

$2$

$3$

$4$

Total

Working Days

$20$

$24$

$12$

$19$

Forecast Demand

$28,000$

$27\mathrm{.}500$

$28\mathrm{.}500$

$28,500$

Planned Production

Planned Inventory

$11\mathrm{.}250$