$4.($Ch$.9\mathrm{.}11$ Prob$)$: A particular workstation has a capacity of $1,000$ units per day and

variability is moderate, such that V$=($

$2+$

$2)/2=1.$ Demand is currently $900$ units per

day. Suppose management has decided that cycle times should be no longer than $1\mathrm{.}5$

times raw process time. $(20$ pt$)($Hint: Calculation, one machine at this workstation,

u$=900/1,000=0\mathrm{.}9)$

a$)$ What is the current cycle time in multiples of the raw process time? $($Hint: Eq$.8\mathrm{.}25$ for

CTq$,$ CT$=$CTq$+$te $,5$ pt$)$

b$)$ If variability is not changed, what would the capacity have to be in order to meet the

cycle time and demand requirements? What percentage increase does this represent?

$($Hint: CT to be $1\mathrm{.}5$ te$,($

$1+1)=1\mathrm{.}5,$ compute u$,$ re$,\%$ increase in TH$,5$ pt$)$

c$)$ If capacity is not changed, what value would be needed for V in order to meet the cycle

time and demand requirements? What percentage does this represent $($compare CVs$,$

not SCVs$)?($Hint: CT$=1\mathrm{.}5$ te $,$ CT $=($V $$

$1+1)$ te$,$ find V$,,\%$ decrease, $5$ pt$)$

d$)$ Discuss a realistic strategy for achieving management$$s goal. $($Hint: Discuss the increase

in capacity vs$.$ the decrease in variability, $5$ pt$)$