$3.$ Shoney Video Concepts produces a line of video streaming servers that are linked to computers for storing movies. These devices have very fast access and large storage capacity. Shoney is trying to determine a production plan for the next $12$ months. The main criterion for this plan is that the employment level is to be held constant over the period. Shoney is continuing in its R$\backslash$&D efforts to develop new applications and prefers not to cause any adverse feelings with the local workforce. For the same reason, all employees should put in full workweeks, even if that is not the lowest$-$cost alternative. The forecast for servers for the next $12$ months is Manufacturing cost is $\backslash (\backslash$$ $200\backslash )$ per server, equally divided between materials and labor. Inventory storage cost is $\backslash (\backslash$$ $5\backslash )$ per month. A shortage of servers results in lost sales and is estimated to cost an overall $\backslash (\backslash$$ $20\backslash )$ per unit short. The inventory on hand at the beginning of the planning period is $200$ units. Ten labor hours are required per DVD player. The workday is eight hours. Develop an aggregate production schedule for the year using a constant workforce. For simplicity, assume $22$ working days each month except July, when the plant closes down for three weeks' vacation $($leaving seven working days$).$ Assume that total production capacity is greater than or equal to total demand.