$8\mathrm{.}5$ Subway, with more than $27,000$ outlets in the U$.$S$.,$ is planning for a new restaurant in Buffalo, New York. Three locations are being considered. The following table gives the factors for each site.

FACTOR WEIGHT MAITLAND BAPTIST CHURCH NORTHSIDE MALL

Space $0\mathrm{.}30607080$

Costs $0\mathrm{.}25408030$

Traffic density $0\mathrm{.}20508060$

Neighborhood income $0\mathrm{.}15507040$

Zoning laws $0\mathrm{.}10802090$

a$)$ At which site should Subway open the new restaurant?

b$)$ If the weights for Space and Traffic density are reversed, how would this affect the decision?

$9\mathrm{.}12$ Stanford Rosenberg Computing wants to establish an assembly line for producing a new product, the Personal Digital Assistant $($PDA$).$ The tasks, task times, and immediate predecessors for the tasks are as follows:

TASK TIME $($sec$)$ IMMEDIATE PREDECESSOR

A $12-$

B $15$ A

C $8$ A

D $5$ B$,$ C

E $20$ D

Rosenberg$$s goal is to produce $180$ PDAs per hour.

a$)$ What is the cycle time?

b$)$ What is the theoretical minimum for the number of workstations that Rosenberg can achieve in this assembly line? c$)$ Can the theoretical minimum actually be reached when workstations are assigned?