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

Period $123456789101112$

Gross Requirements $3040307020108050$

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