Please solve it according to the table above

2. (50 points) X-Print Manufacturing produces different models of printers. The company is in the process of aggregate production planning for the next six months for a single product family of printers which share common production processes. In the table below, the marketing department has provided the number of working days and forecasts of demand over the next six months. Standards indicate that one worker can produce five printers per day. A printer costs $300 to produce, and the company figures it costs $5 to hold one printer in inventory for one month. Workers earn $1500 per month (independent of the number of working days in a month) and can be hired for $2000 each; laying-off a worker costs $2750. Currently, there are 12 workers. If a printer is backordered, the cost is $35 per unit per month. Assume that the company currently has 120 printers and would like to end the year with an inventory of 50 printers. Develop a constant workforce plan when backorders are allowed, by filling in the table below. (Show your work, either by using a diagram or by using mathematical operations. If there are similar computations, it is enough to show only one sample computation.) Month July August September October November December Working days 21 22 21 23 19 20 Demand forecast 1020 950 800 1000 1250 650 Net demand Unit/worker/month Workers used Monthly capacity No of workers hired No of workers laid-off No of units produced Ending inventory level Production cost Hiring cost Firing cost Inventory holding cost Backordering cost Labor cost Total monthly cost Total cost of the plan