for sample size $n=5$

$D_4=2\mathrm{.}11($for sample size $n=5)$

$D_3=0($for sample size $n=5)$

$\stackrel{}{x}-$ Chart:

UCL$\frac{?}{b}=ar(\stackrel{}{x})+\frac{A_2}{b}ar(R)$

$R-$Chart:

$LCL=\stackrel{}{x}-\frac{A_2}{b}ar(R)$

UCL$=\frac{D_4}{b}ar(R)$

$LCL=\frac{D_3}{b}ar(R)$

Burt wants to order his holiday gifts through the mail. He has spent many evenings at home

comparison$-$shopping through gift catalogue sites and has found all the things he needs from

three online websites, Kramer One, Awesome Two, and Ultimate Three. The purchase price for

his selections from each site is given here. The shipping and handling charge per item is also

given. For what levels of order quantities should each catalogue$/$site be chosen? $($Note: Show the

graph, show calculations$)$

$(10$ points$)$