Please answer part b&c&d using part a

Problem 2 The Paris Paint company is in the process of planning labor force requirements and production levels for the next four quarters. The marketing department has provided production with the following forecasts of demand for Paris Paint over the next year. Demand Forecast (in Quarter thousands of gallons) 380 630 220 160 Assume there are currently 280 employees with the company. Employees are hi east one full quarter. Hiring costs amount to $1200 per employee and firing costs are $250 worker produces 1000 gallons of paint each quarter. Assume that Paris currently has 80,000 gallons of paint in inventory and would like to end the year with an inventory of at least 20,000 gallons. 0 per employee. Inventory costs are $1 per gallon per quarter. It is estimated that one Determine the zero inventory plan that hires and fires workers each quarter to match demand as closely as possible and the cost of the plan. Populate your responses in the table below (15 points) a. No. of No. of Number Number No. units per Units Cumulative Cumulative Quarter Workers hired fired produced production demand Ending Inv s 0 115011 50 0