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,$20,,40,,40,70,20,,20,70,,50]]$

$*$Holding cost $=$$$\frac{1\mathrm{.}50}{?}$ unit$/$week; setup cost $=$$$4$; 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,,$20,,40,,40,70,20,,20,70,,50],[$On$-$hand at beginning of period,$40,40,20,20,0,0,0,0,0,0,0,0,0],[$On$-$hand at end of period,,$20,{20}^7,0,0,0,0,0,0,0,0,0,0],[$Order receipt,,,$0,20,0,{40}^7,{70}^7,20,0,20,{70}^7,0,50],[$Order release,,$0,20,0,{40}^7,70,20,0,{20}^1,70,0,50,]]$

The total cost is $ $($enter your response as a whole number$).$