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,$30,,30,,30,70,30,,20,80,,50]]$

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

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

$\backslash$table$[[\{$

$\backslash$table$[[$Period$],[$Gross requirements$]]\},(1)/(30),(3)/(30),\{$

$\backslash$table$[[4,5],[,30]]\},(6)/(70),(7)/(30),8,(9)/(20),\backslash$table$[[(10)/(80)]],11,(12)/(50)],[],[$On$-$hand at beginning of period,$40,,0,0,,,,,,,,,],[$On$-$hand at end of period,,,$0,,,,,,,,,,],[$Order receipt,,,$0,,,,,,,,,,],[$Order release,,,,,,,,,,,,,$]]$