Find the lowest cost plan where all hiring and firing must be in integers (no fractions) and hiring/firing is allowed in any month. Backordering (negative inventory) is not allowed. Your plan must end with 50 units of inventory at the end of July. Fill in the table below to show the number of employees hired and fired at th beginning of each month, the production and the inventory at the end of each month. Month # Hired # Fired Production Inventory August 1 September October November | December January February March April Demand (units) 60 80 60 40 100 120 60 50 May 110 June July 60 otal cost for the plan = 8. Consider a twelve-month sales and operations planning problem with the monthly demand data shown in the table below. For parts a) and b): - The inventory holding cost is $10 for each unit held at the end of a month. - Each employee makes 10 units per month. - Each hire costs $200 and each layoff (firing) costs $150. - The plan must start and end with 2 employees. - The plan must start with 50 units of inventory (at the beginning of August)