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,$20,,30,,30,70,30,,10,80,,60]]$

$*$Holding cost $=$$$\frac{3\mathrm{.}50}{?}$ unit$/$week; setup cost $=$$$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,$20,,30,,30,70,30,,10,80,,60],[$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,$20,20,0,0,0,0,0,0,0,0,0,0],[$Order receipt,,$0,10,0,30,70,30,0,10,80,0,60],[$Order release,$0,10,0,30,70,30,0,10,80,0,60,]]$

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

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