The Farm$-4-$Less tractor company produces a grain combine $($GC$)$ in addition to both a large $($LT$)$ and small size tractor $($SM$).$ Its production manager desires to produce to customer demand using a mixed model production line. The current sequence of production, which is repeated $24$ times during a shift, is:

SM$-$GC$-$LT$-$SM$-$GC$-$LT$-$SM$-$GC$-$LT$-$SM

A new machine is produced every $2$ minutes. The plant operates two eight$-$hour shifts. There is no downtime because the four$-$hours between each shift are dedicated to maintenance and restocking raw material. Based on this information, answer the following questions.

a$.$ How long does it take the production cycle to be completed?

The cycle sequence is completedin minutes. $($Enter your response as a whole number.$)$

b$.$ How many of each type of machine does Farm$-4-$Less produce in a shift? $($Enter your responses as