Inner City Land is one of the many projects of USC Marshalls Brittingham Social Enterprise Lab. Construction of the amusement park just east of downtown Los Angeles is complete except for the restaurant. You are hired by the project as process consultant. (You work of course pro bono.) According to the current business proposal, a typical park guests experience will be as follows:

A guest comes to the park gate to purchase a ticket. There are three ticket agents each of whom can sell a ticket to a guest in 30 seconds.3 Because of the small size of the park, there are only two attractions in the park Its a Tiny World and Galactic Magnum Mountain. Its a Tiny World takes exactly 4 minutes, and 40 guests can enjoy the ride at one time.4 Galactic Magnum Mountain takes exactly 3 minutes, and 15 guests can enjoy the ride at one time. Because of the awkward land, the park is designed such that all guests go to Its a Tiny World first and Galactic Magnum Mountain later. Every guest enjoys both attractions in that order.

a) Compute the capacity of the ticketing process

b) Compute the capacity of Its a Tiny World.

c) Compute the capacity of Galactic Magnum Mountain.

d) What is the capacity of Inner City Land?

The project owner is not happy about your answer in part d. You are asked to increase the capacity without heavily modifying the ongoing construction plans. After conducting several focus group sessions, it turns out that not all guests would like to experience both attractions. Actually it is estimated that 1/3 of the visitors would like to ride Its a Tiny World only, and another 1/3 Galactic Magnum Mountain only, and the remaining 1/3 would like to enjoy both attractions.

e) Based on this new information, what is the capacity of Inner City Land?