The table below shows the aggregate sales forecasts for a product family for the year along with the number of working days per month. The following assumptions are made:

Cost of a unit is $30.

Number of units produced per employee per day is 3.

Hiring cost per employee is $200.

Firing cost per employee is $500.

Inventory carrying cost per unit per month is 2%.

Shortage cost per unit is $50.

Beginning inventory is 115, and ending inventory is 100.

Beginning labor force is 10.

If number of workers needed has fractions, then always round up.

Month	Jan	Feb	Mar	Apr	May	Jun	Jul	Aug	Sep	Oct	Nov	Dec
Forecast	253	280	340	300	393	233	287	420	480	427	527	393
Days/Month	20	21	23	20	22	22	10	23	20	22	20	20

Develop a level production plan and a chase production plan, and compare the costs of the two plans. Note, you should plan to reach the ending inventory of 100 by the end of January.