$4\mathrm{.}8$d $($Glove Design Challenge$).$ A manufacturer of women's designer gloves has employed a team of students to redesign her manufacturing unit. They gathered the following information. The manufacturing process consists of four activities: $(1)$ fabric cutting; $(2)$ dyeing; $(3)$ stitching, done by specially designed machines; and $(4)$ packaging.

Processing times are shown below. Gloves are moved between activities by a conveyor belt that paces the flow of work $($machine$-$paced line$).$

Process Step

# of Machines

Minutes$/$Glove

Cutting

$1$

$2$

Dyeing

$1$

$4$

Stitching

$1$

$3$

Packaging

$1$

$5$

d$.$ What is the flow time for a glove?