The quarterly demand forecast for your product for the next four quarters is provided in the table below. You also know the following information:

Current number of employees $=10$ employees

Production per employee $=200$ units per quarter

Hiring costs $=$$$500$ per employee

Firing costs $=$$$750$ per employee

Inventory storage costs $=$$$1$ per unit per quarter

Production costs $=$$$1$ per unit

Employees hired in each quarter are available from the beginning of quarter $($which means you get all $200$ units of their productivity that quarter$).$ Employees are fired such that their productivity is not available for the entire quarter. $($We can assume this because this is an aggregate plan and not actual events.$)$

$\backslash$table$[[$Quarter$,1,2,3,4],[$Demand Forecast,$2000,2400,3000,4600]]$

$\backslash$table$[[$Quarterly Production,,,,$],[$Workers Needed,,,,$],[$Workers Hired,,,,$],[$Workers Fired,,,,$],[$Hiring Cost,,,,$],[$Firing Cost,,,,$]]$

$\backslash$table$[[$Beginning Inventory,,,,$],[$Ending Inventory,,,,$],[$Average Inventory,,,,$],[$Inventory Holding Cost,,,,$]]$