Develop a lot$-$for$-$lot solution and calculate total relevant costs for the data in the following table.

Period

$1$

$2$

$3$

$4$

$5$

$6$

$7$

$8$

$9$

$10$

$11$

$12$

Gross requirements

$30$

$40$

$30$

$70$

$20$

$10$

$80$

$50$

Holding cost $=$$$2\mathrm{.}50/$unit$/$week; setup cost $=$$$150$ lead time $=1$ week; beginning inventory $=40$