The Harvey Motorcycle Company produces three$$ models: the$$ Tiger, a$$ sure$-$footed dirt$$ bike; the$$ LX$2000,$ a nimble cafe$$ racer; and the$$ Golden, a large interstate tourer. The$$ month's master production schedule calls for the production of $32$ Goldens, $20$LX$2000$s$,$ and $26$ Tigers per $12-$hour shift.

Part $2$

What average cycle time is required for the assembly line to achieve the production quota in $12$hours$?$

$$

$0\mathrm{.}154$ hours per motorcycle. $($Enter your response rounded to three decimal$$ places.$)$

Part $3$

If$$ mixed$-$model scheduling is$$ used, how many of each model will be produced before the production cycle is$$ repeated?

The greatest common divisor of the production requirements is

$$

enter your response here. $$Therefore$,$ the Harvey Motorcycle Company will produce

$$

enter your response here $$Goldens$,$

$$

enter your response here $$LX$2000$s$,$ and

$$

enter your response here Tigers.