$300$

$800$

$850$

$900$

$1200$

$1800$

the production line. The plant operates $20$ days a month, eight hours each day. Production of a router takes $20$ minutes, Each worker is paid $$10$ per hour with a $50$ percent premium for any overtime $($ $$15).$ The plant currently has $6,300$ employees. The cost of hiring a worker and provide him with training is $$200.$ It is possible to lay off a w

$$700$ as compensation.

Overtime is limited to $20$ hours per employee per month. FineFactory starts with an initial inventory of $400$ units and needs to end June with at least $350$ units.

The cost of making a unit of the product is $$16.$ Units of the products that are exceeding demand are kept in inventory for the upcoming months, at a marginal cost of $$\frac{2}{u}ni\frac{t}{m}$onth. On the other hand, the company can backlog stockouts and supply the unmet demand from the following month' production, at a marginal cost of $$\frac{7}{?}$ unit$/$month$.$ No subcontracting is possible.

The company establishes its aggregate production plan using a linear programming model, in which the objective is to determine a feasible production$/$hiring$/$stocking plan that would minimize the company' otal operation costs.

List precisely the model's decision variables with their definitions.