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,$20,,40,,40,70,20,,10,80,,50]]$

${?}^{*}$ Holding cost $=$$$2\mathrm{.}50/$unit$/$week; setup cost $=$$$150$; 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,$20,,40,,40,70,20,,10,80,,50,],[$On$-$hand at beginning of period,$40,40,20,0,0,0,0,0,0,0,0,0,0],[$On$-$hand at end of period,,$20,0,0,0,0,0,0,0,0,0,0,0],[$Order receipt,,$20,40,70,20,10,80,50,0,0,0,0,],[$Order release,$0,20,40,70,20,10,80,50,0,0,0,,]]$