2. 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. 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