Complete the answers to these questions for problem to solve in Operations Management: problems $2$a$,2$b$,$ and $2$c: textbook page $271($see pages $152$ for an explanation of mixed model assembly$).$

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. This month's master production schedule calls for the production of $54$ Goldens, $42$ LX$2000$s$,$ and $30$ Tigers per $7-$hour shift.

a$.$ What average cycle time is required for the assembly line to achieve the production quota in $7$ hours?

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

c$.$ Determine a satisfactory production sequence for the ultimate in small$-$lot production: one unit $($see page $219).$