$($i$)($a$)$ The average operator of a certain company performs at $100\%($average pace$)$ and the

range of performance is from about $60\%$ to $140\%,$ and the distribution is assumed to be

normal. Determine the station speed of the company's assembly line assuming that it is set

for the operator whose pace is $85\%$ of average $(Z$ value for $85\%$ or $15\%=1\mathrm{.}04$ or$,-1\mathrm{.}04).$

$($b$)$ Suppose the assembly line is decoupled and the line could be set for an average operator,

what would be the gain in station speed?

$($ii$)$ Explain the characteristics of the following two programs in the context of computerized

layout of multiple items: $($a$)$ CRAFT and $($b$)$ CORELAP.

$($iii$)$ State the basic requirements of computerized layout programs for multiple items.