$2.$ A setup reduction team has been working on a punch$-$press machine that currently takes $75$ minutes for internal setup. Each part requires $1\mathrm{.}5$ minutes on the machine. The machine is not a bottleneck, and the motivation for reducing setup time is to reduce the unit cost of the part and to enable the machine operator to perform the setup. The labor rate for the operator is $$12\mathrm{.}50$ per hour. What must the setup time be reduced to for the lot size to be $10$ units and the average labor cost per unit to be $$0\mathrm{.}75?3.$ In problem $2,$ the setup team has set the target production lot size to five units. The production rate on the machine is $40$ units$/$hour$,$ the demand for the part is $10$ units$/$hour$,$ and the carrying cost of the part is $$4\mathrm{.}25$ per unit per year. Assume annual demand is $8000$ units. What must the setup time be reduced to for this part? $($Hint: Look at EMQ in Chapter $5,$ Small Lot Production.$)$ Need the answer for $3.2$ is just for reference.