Carol Cagle has a repetitive manufacturing plant producing trailer hitches in Arlington, Texas. The plant has an average inventory turnover of only $12$ times per year. He has therefore determined that he will reduce his component lot sizes. He has developed the following data for one component, the safety chain clip:

$\backslash$table$[[$Setup labor cost,$$25$ per hour$],[$Annual holding cost,$$15$ per unit$],[$Daily production,$1,008$ units$/8$ hour day$],[$Annual demand,$36,000(250$ days each $$ daily demand of $144$ units$)],[$Desired lot size,$126$ units $($one hour of production$)]]$

To obtain the desired lot size, the set$-$up time that should be achieved $=$ minutes $($round your response to two decimal places$).$