$)$ BestView, Inc. manufactures computer monitors. It needs to develop an aggregate

production plan for the next four months from November to February. The company manufactures

several types of monitors, however it uses an average unit for aggregate planning purposes. Each

worker works $8$ hours a day and may be forced to work up to $2$ hours of overtime per day. It takes $4$

hours to produce each monitor $($one worker$).$ Inventories and backorders are allowed but all demands

must be met at the end of February. The additional data is as follows:

Month November December January February

Demand $80011501300950$

$$ Regular time labor cost: $$20/$hour

$$ Overtime labor cost: $$30/$hour

$$ Backordering cost: $$25/$unit$/$month

$$ Holding cost: $$20/$unit$/$month

$$ Workforce at the end of October: $20$ workers

$$ Work days: $22$ days$/$month

$$ Inventory at the end of October: $100$ units

Formulate a linear model to minimize BestView$$s costs.