The following information is provided for the tasks on a project. Times are in days. Task Time Predecessor A 12 --- B 21 --- C 8 A D 6 C E 7 B, C F 15 E G 5 D H 17 F, G a. The critical path is [ Select ] . b. The time to complete this project will be [ Select ] . c. The slack for task G is [ Select ] d. What is the late start / late finish for task G

In allentown, pennsylvania, in the summer of 2014, the average price of a gallon of gasoline was $3.68long dasha 22-cent increase from the year before. many consumers were upset by the increase. one was quoted in a local newspaper as saying, "it's crazy. the government should step in." source: sam kennedy, "valley feeling pain at the pump," (allentown, pa) morning call, june 21, 2014. suppose the government had stepped in and imposed a price ceiling equal to old price of $3.46 per gallon. a. using the line drawing tool, draw and label the price ceiling. carefully follow the instructions above, and only draw the required object.

4. suppose that pollution in a neighborhood comes from two factories, with marginal benefit curves given by mb1 = 12 – p1 and mb2 = 8 – p2. the level of pollution in the neighborhood is given by p = p1 + p2. the government wants to limit pollution by instituting a pollution-rights market. the government’s desired level of p is 10, so it prints 10 pollution rights and offers them for sale to the firms. a)find the equilibrium selling price of a pollution right, as well as the allocation of rights (and hence pollution levels) across the two factories. b)repeat part (a) for the case where the government’s desired level of pollution equals 14. c)comment on the usefulness of a pollution rights market in achieving efficient levels of pollution abatement.

Employees at a library check out books to patrons. books have an isbn and a name. the library sometimes has multiple copies of the same book. books have one or more authors. a patron is an individual who has an active (non-expired) library card. for each library card, we store the person's first and last names and their address. for each employee, we store their employee id, current salary, first and last name and their address. we also store the employee id of their current manager. each time we check out a book to a patron we need to store the date of the transaction, the employee who checked out the book to the patron, and the library card of the patron. some employees have library cards. if an employee patron turns in a book late, the fine that they pay is a percentage of their salary. some employees are authors who have library cards—they are allowed to check out as many books as they like.