$4.$ SSI would like to determine its potential sales for the first year on the basis of the information in question $3($see answer to question $3$ below to help solve this question. However, there is some concern that the estimate of average retail sales is too high. SSI assumes only $40$ percent of the participating retailers will actually achieve the average sales and reorders $($this group is designated as high performers$).$ Twenty percent of the retailers are expected to have medium performance success

and will only sell$/$reorder $75$ percent of the average suggested order. Low$-$performing retailers represent the remaining $40$ percent and will achieve half the sales$/$reorder expected on average. Calculate the orders $($separate initial and reorder quantities$)$ for the $6-$month trial period if $45$ percent of retailers exclusively order$/$reorder large packs

and the remaining retailers exclusively order$/$reorder small packs. Calculate the second $6$ months accounting for the dropout. $($Round if necessary.$)$ Assume the "performer" ratios remain the same after the trial period $($i$.$e$.,40$ percent are average performers, $20$ percent sell $75$ percent of the average, and $40$ percent sell $50$ percent of the average$).$

Answer to Question $3,$ which is required to solve above Question $4$:

Calculation of annual sales into number of packs

Large packs contain $180$ units while Small packs contain $92$ units

Annual Demand is $2912$ units. Required number of packers calculated below:

Large Pack $16\mathrm{.}1778$ packs rounded to nearest whole packet $16$ packs

Small Pack $31\mathrm{.}6521$ packs rounded to nearest whole packet $32$ packs