expected $to$ remain stable $at$ $$12$ per unit for the next $12$ periods, and $no$ quantity discounts are available. The maximum order size $is1,000$ units.

Period $1$ Demand

Period $2$ Demand

Period $3$ Demand

Period $4$ Demand

Period $5$ Demand

Period $6$ Demand

Period $7$ Demand

Period $8$ Demand

Period $9$ Demand

Period $10$ Demand

Period $11$ Demand

Period $12$ Demand

$x_t()y_t$ for $t=1,2,3,$dots,$12$

$x_{t^{\text{'}}}{H}_{t}0,$ for $t=1,2,3,$dots,$12$

$Y_t=0,1,$ for $t=1,2,3,$dots,$12$

$(b)$ Solve the model formulated $in$ part $(a).$ What $is$ the optimal cost $(in$ $$)?$

$

How many orders are placed?

orders