Reconsider the FlexMan data from Exercise $4.$ The firm is considering the option of changing workforce size with demand. The cost of hiring a new employee is $$700$ and the cost of a layoff is $$1000.$ It takes an employee two months to reach full production capacity. During those two months, a new employee provides only $50$ percent productivity. Anticipating a similar demand pattern next year, FlexMan aims to end the year with $6,300$ employees.