A construction project is broken down into the following 10 activities:

ACTIVITY IMMEDIATE PREDECESSOR TIME (WEEKS)
1 — 5
2 1 2
3 1 5
4 1 6
5 2, 3 5
6 3 5
7 4 2
8 5 5
9 6, 7 6
10 8, 9 4

a. What is the critical path?
b. How many weeks will the project take to complete?
c. If activities 1 and 10 cannot be shortened, but activities 2 through 9 can be shortened to a minimum of one week each at a cost of $10,000 per week, which activities would you shorten to cut the project by four weeks?

In each of the following cases, find the unknown variable. ignore taxes. (do not round intermediate calculations and round your answers to the nearest whole number, e.g., 32.) accounting unit price unit variable cost fixed costs depreciation break-even 20,500 $ 44 $ 24 $ 275,000 $ 133,500 44 4,400,000 940,000 8,000 75 320,000 80,000

In year 1, the bennetts' 25-year-old daughter, jane, is a full-time student at an out-of-state university but she plans to return home after the school year ends. in previous years, jane has never worked and her parents have always been able to claim her as a dependent. in year 1, a kind neighbor offers to pay for all of jane's educational and living expenses. which of the following statements is most accurate regarding whether jane's parents would be allowed to claim an exemption for jane in year 1 assuming the neighbor pays for all of jane's support? a.no, jane must include her neighbor's gift as income and thus fails the gross income test for a qualifying relative.b.yes, because she is a full-time student and does not provide more than half of her own support, jane is considered her parent's qualifying child.c.no, jane is too old to be considered a qualifying child and fails the support test of a qualifying relative.d.yes, because she is a student, her absence is considered as "temporary." consequently she meets the residence test and is a considered a qualifying child of the bennetts.

Summarize the specific methods used by interest groups in order to influence governmental decisions making in all three branches of government. provide at least two examples from each branch.