Assume the following inventory demand forecast:

$\backslash$table$[[$Time Period,$1,2,3,4,5,6,7,8,9,10,11,12],[$Demand$,20,50,40,70,60,30,80,40,20,60,40,90]]$

Assume that carrying costs on average inventory are $$0\mathrm{.}50$ per unit per time period and that purchase order costs are $$50$ per order. Determine the total inventory costs over the $12$ time periods if the LFL lot$-$sizing technique is used.