Q$4\mathrm{.}8($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 informa$-$ tion. 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 Number of Machines Minutes per Glove $1214$ Cutting Dyeing Stitching Packaging $1315$ a$.$ What is the process capacity in gloves$/$hour$?[4\mathrm{.}1]$ b$.$ Which one of the following statements is true? $[4\mathrm{.}1]$ i$.$ The capacity of the process increases by reducing the dyeing time. ii$.$ If stitching time increases to $5$ minutes$/$glove$,$ the capacity of the process remains unchanged, but "time through an empty machine$-$paced process" increases. iii. By reducing packaging time, the process capacity increases. iv$.$ By reducing cutting time, the capacity of the process increases. c$.$ What is the implied utilization of the packaging machine if the demand rate is $10$ gloves$/$hour$?[4\mathrm{.}1]$ d$.$ What is the flow time for a glove? $[4\mathrm{.}1]$