i need help filling out this chart based on the information provided. it would be helpful to include calculations for the numbers entered. thanks! First, enter the following actuals for Oct$-$Dec and calculate the resulting actual inventories, along with monthly and YTD differences from plan.

Fiscal YTD difference is zero as of the beginning of the fiscal year on October $\backslash (1^\{\backslash$text $\{$st $\}\}\backslash ).$

Production levels can be adjusted by exactly $\backslash (+/-500\backslash )$ from one month to the next.

Inventory targets: minimum of $\backslash (50\backslash \%\backslash )$ of next month's sales to a maximum of next month's sales.

$1.$ On the assumption that the company was holding monthly SOP replanning meetings, what observations can you make about the first three months?

$2.$ You are "stuck" with the January production plan of $1500.$ Assuming that sales come on plan, calculate the end of January inventory.

$3.$ Develop a revised production$/$inventory plan for the rest of this year. Assume that sales will come in on forecast. Your objective is to minimize the number of months in which inventory is above or below the target range. SOP Planning Grid MTS Environment

Month$-$end inventory limits: max$--$next month's sales; min$-50\backslash \%$ of next month's sales

Month$-$to$-$month production level changes: $\backslash (+/-500\backslash )$ exactly, no other increments

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline & & & & & & & & & & & & & & $\backslash \backslash$

$\backslash$hline Product Family A & & $0$ & N & D & J & F & M & A & M & J & J & A & S & total $\backslash \backslash$

$\backslash$hline Sales Plan & & $2,500$ & $2,000$ & $2,500$ & $1,000$ & $1,000$ & $2,000$ & $2,500$ & $3,500$ & $4,500$ & $2,500$ & $2,000$ & $1,500$ & $27,500\backslash \backslash$

$\backslash$hline $\backslash$multicolumn$\{15\}\{|$l$|\}\{$Actual Sales$\}\backslash \backslash$

$\backslash$hline $\backslash$multicolumn$\{15\}\{|$l$|\}\{$Difference$\}\backslash \backslash$

$\backslash$hline $\backslash$multicolumn$\{15\}\{|$l$|\}\{$Cumulative Diff. $(0)\}\backslash \backslash$

$\backslash$hline & & & & & & & & & & & & & & $\backslash \backslash$

$\backslash$hline Production Plan & & $2,000$ & $2,000$ & $2,000$ & $1,500$ & $2,000$ & $2,500$ & $3,000$ & $3,500$ & $3,000$ & $2,500$ & $2,000$ & $1,500$ & $27,500\backslash \backslash$

$\backslash$hline $\backslash$multicolumn$\{15\}\{|$l$|\}\{$Prod$.$ Plan Revised$\}\backslash \backslash$

$\backslash$hline $\backslash$multicolumn$\{15\}\{|$l$|\}\{$Actual Production$\}\backslash \backslash$

$\backslash$hline $\backslash$multicolumn$\{15\}\{|$l$|\}\{$Difference$\}\backslash \backslash$

$\backslash$hline $\backslash$multicolumn$\{15\}\{|$l$|\}\{$Cumulative Diff. $(0)\}\backslash \backslash$

$\backslash$hline Inventory Plan & $1500*$ & $1,000$ & $1,000$ & $500$ & $1,000$ & $2,000$ & $2,500$ & $3,000$ & $3,000$ & $1,500$ & $1,500$ & $1,500$ & $1,500$ & $\backslash \backslash$

$\backslash$hline Inv. Plan Revised & & & & & & $0$ & $0$ & $0$ & $0$ & $0$ & $0$ & $0$ & $0$ & $\backslash \backslash$

$\backslash$hline Actual Inventory & $1500*$ & & & & & & & & & & & & & $\backslash \backslash$

$\backslash$hline $\backslash$multicolumn$\{15\}\{|$l$|\}\{$Difference$\}\backslash \backslash$

$\backslash$hline & & & Inventory & targets & max & $2,000$ & $2,500$ & $3,500$ & $4,500$ & $2,500$ & $2,000$ & $1,500$ & $2,500$ & $\backslash \backslash$

$\backslash$hline $*$actual inventory as & Sept. & $30$th & & & min & $1000$ & $1250$ & $1750$ & $2250$ & $1250$ & $1000$ & $750$ & $1250$ & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$