A machine does three setups per production cycle. Each setup takes $20$ minutes. The processing time is $0\mathrm{.}5$ minute. What batch size achieves a capacity of $24$ units per hour?

A machine does three setups per production cycle. Each setup takes $20$ minutes. The processing time is $0\mathrm{.}5$ minute. What batch size achieves a capacity of $24$ units per hour?

$10$

$83$

$40$

$30$

Regular

Sugar$-$Free

Demand $($lbs per hour$)$

$3010$Changeover time $($min$)$

$6030$Production rate $($lbs per hour$)$

$8080$

How many pounds of sugar$-$free gumdrops should C&A produce before switching to regular gumdrops in order to minimize inventory while satisfying demand?

C&A Candy produces two kinds of gumdrops: regular and sugar$-$free. The data on these gumdrops follow:

Regular

Sugar$-$Free

Demand $($lbs per hour$)$

$3010$Changeover time $($min$)$

$6030$Production rate $($lbs per hour$)$

$8080$

How many pounds of sugar$-$free gumdrops should C&A produce before switching to regular gumdrops in order to minimize inventory while satisfying demand?

$30$

$120$

$90$

$80$