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$).($a$)$ What is the process capacity in gloves$/$hour$?($b$)$ Which one of the following statements is true? 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$?($Round your final answer to one decimal place.$)($d$)$ What is the flow time for a glove?