Brianna is a software developer who has four programs to complete this season. She

estimates that one program will take two weeks to complete, two of them will take three

weeks to complete and the other one will take her four weeks. Brianna plans to use some of

her vacation time this season, so she will not accept any more program requests beyond these

four this season.

What is Brianna's flow rate, or projects per week, during the time these programs are worked on$?$

$2)$ Which of the following is observed within the area of project management, not process

management?

A$)$ The completion time of the whole project.

B$)$ The resources with the highest capacities.

C$)$ The longest and shortest activity times.

D$)$ The bottleneck of the activities.

E$)$ The resources with the lowest capacities

$3)$ The co$-$owners of Wiggles Out have been attempting to forecast the number of jumpers each

week for the last three months since the park opened. Now, they are trying to tighten up

spending as they enter the second quarter. For week twelve, for example, the co$-$owners

forecasted an optimistic amount of $370$ jumpers but only ended up welcoming $245.$

What was their forecast error for week $12?$

$4)$ Zaza Fashions' demand for the Polka Dot silk skirt during the Fall season is Poisson with a

mean of $6\mathrm{.}5.$ Zaza calculates the order quantity that maximizes its expected profit using the

news vendor model and determines that the stock$-$out probability with that order quantity is

$0\mathrm{.}32724.$ What is the in$-$stock probability corresponding to that order quantity? $($Answer

should include all decimal places$)$

$5)$ Suppose that Supreme uses the same demand distribution for two of the $10$ products, i$.$e$.,$

each has a mean of $25$ units per week and a standard deviation of $20$ per week. Supreme observes

that the coefficient of variation of total demand for these $2$ products is $0\mathrm{.}70.$ Which of the

following is true?

A$)$ Demands for these products are positively correlated with each other.

B$)$ Demands for these products are negatively correlated with each other.

C$)$ Demands for these products are independent.

D$)$ There is not enough information to answer this question.