Instant Dolls specializes in making custom dolls on a make$-$to$-$order basis. Their product is popular so that there is always sufficient demand to match capacity. The service process includes the following steps performed in sequence $($time in parenthesis$)$:

Activity $1$: Get the specifications of the doll from the customer, get the payment, and submit the order to the production line. $(8$ min$)$

Activity $2$: Assemble the main body of the doll $(10$ min$)$

Activity $3$: Add hair and paint $(14$ min$)$

Activity $4$: Dress doll $(15$ min$)$

Activity $5$: Pack doll $(3$ min$)$

There are three workers $($S$1,$ S$2,$ and S$3)$ in the whole process. They divide the work in the following way:

S$1$ does Activity $1$

S$2$ does Activity $2$ and Activity $3$

S$3$ does Activity $4$ and Activity $5$

Instant dolls earn $$30$ per doll $($after deducting the cost of raw materials but before labor costs$).$ Each worker costs $$20/$ hour. The factory opens sufficiently long so that effective capacity is almost the same as design capacity.

Use all the information given here to answer the following questions