$($Worth $5$ points of extra credit$)$

The following $($deterministic$)$ demands for your product have arrived.

Demand in week $1$: $250$

Demand in week $2$: $300$

Demand in week $3$: $900$

Demand in week $4$: $500$

Demand in week $5$: $1000$

Demand in week $6$ and later: $0$

Replenishment orders cost $$750/$order and orders arrive instantaneously. Holding costs are $$\frac{1}{?}$ unit$/$week$.$ Production costs are $$\frac{1}{?}$ unit. Initial inventory is $0$ units.

How many items will you produce in week $3?$