Formulate a model to minimize the total cost $($in $$)$ of satisfying Morgan Inc.$\text{'}$s demand for this component.

Let xt $=$ amount

to order at the start of period t$,$

Ht $=$ amount

to hold in inventory at the end of period t$,$ and

Yt $=$

$1$ if an order is placed at the start of period t

$0$ otherwise

for

t $=1,2,3,...,12.$

Min

$($x$1+$ x$2+...+$ x$12)$

$+$

$($H$1+$ H$2+...+$ H$12)$

$+$

$($Y$1+$ Y$2+...+$ Y$12)$