Develop a lot$-$for$-$lot solution and calculate total relevant costs for the gross requirements in the following table ${?}^{**}.$

$\backslash$table$[[$Period$,1,2,3,4,5,6,7,8,9,10,11,12],[$Gross requirements,$20,,30,,30,60,30,,20,70,,50]]$

$*$Holding cost $=$$$\frac{2\mathrm{.}50}{?}$ unit$/$week; setup cost $=$$$200$; lead time $=1$ week; beginning inventory $=40.$

Develop a lot$-$for$-$lot solution $($enter your responses as whole numbers$).$

$\backslash$table$[[$Period$,,1,2,3,4,5,6,7,8,9,10,11,12],[$Gross requirements,$20,,30,,30,60,30,,20,70,50,,],[$On$-$hand at beginning of period,$40,,,,,,,,,,,,$