The following probabilistic activity time estimates are for the CPM/PERT network in Problem 9.9: TIME ESTIMATES (DAYS) TIME ESTIMATES (DAYS) ACTIVITY a m b ACTIVITY a m b 1 1 2 6 7 1 1.5 2 2 1 3 5 8 1 3 5 3 3 5 10 9 1 1 5 4 3 6 14 10 2 4 9 5 2 4 9 11 1 2 3 6 2 3 7 12 1 1 1 Determine the following: a. Expected activity times b. Earliest start and finish times c. Latest start and finish times d. Activity slack e. Critical path f. Expected project duration and standard deviation

Forecasting as a first step in the team’s decision making, it wants to forecast quarterly demand for each of the two types of containers for years 6 to 8. based on historical trends, demand is expected to continue to grow until year 8, after which it is expected to plateau. julie must select the appropriate forecasting method and estimate the likely forecast error. which method should she choose? why? using the method selected, forecast demand for years 6 to 8.

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.

In our daily interactions we can find ourselves listening to other people solely for the purpose of finding weakness in their positions so that we can formulate a convincing response. select one: true false