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You have a project with the following activities:

Activity A begins after the start of the project and has a duration of 5 days. Activity B with a duration of 8 days and activity D with a duration of 4 days both have activity A as a predecessor. Activity C with a duration of 9 days starts once activity B is starting. Activity E with a duration of 9 days is a successor to both activities B and D. Activity H with a duration of 2 days is a successor to both Activities C and E. Activity F with a duration of 1 days completed after 2 days of finishing activity E. Activity G with a duration of 3 days is a successor to both activities Hand F. The project finishes after activity G is completed.


i. The planned duration of the project is
ii. The Free float of activity D is

iii. The total float of activity H is

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5. Stoe-Geary preferences and Ramsey economy] Consider the standard Ramsey model of a closed economy, except that the representative house- hold’s instantaneous utility function (felicity function) takes on the following Stone-Geary form, so that preferences are no n-homothetic u(c) 1-6 where c0 represents the subsistence level of per capita consumption. Suppose that the production function has the Cobb-Douglas form, and assume that there’s no technological progress a. What is the intertemporal elasticity of substitution for the new form of the felicity function? Hint: Intertemporal elasticity of substitution, o, is cx u”(c) If >0, show how this elasticity measure changes as c rises.

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An important part of evaluating strategies is determining the nature and extent of changes in an organization’s external opportunities and threats as well as internal strengths and weaknesses. Changes in these underlying key factors can indicate a need to change or modify the firm’s strategies. Instructions As a class, discuss positive and negative changes in your university’s external and internal factors during your college career. Begin by listing on the board new or emerging opportunities and threats. Then identify strengths and weaknesses that have changed significantly during your college career. In light of the external and internal changes that were identified, discuss whether your university’s strategies need modifying. Are there any new strategies that you would recommend? Make a list to recommend to your department chair, dean, president, or chancellor.

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Sabrina, Kris, and Kelly are the only three residents of the small town of Charleston. They are considering whether to hire a police officer to patrol the town. Sabrina values the police officer at $610 per week, Kris values the police officer at $230 per week, and Kelly values the police officer at $150 per week. The competitive wage for a police officer is $900 per week.

a. If the protection provided by the police officer to one resident does not diminish the protection provided to the other residents, then the police officer is (Click to select) a commons an excludable a rival a nonrival a nonexcludable good.

b. Suppose Sabrina proposes a tax whereby all three residents split the cost of the police officer equally.

Will the majority of them support this tax?

  • No, they will not support the tax.

  • Yes, they will support the tax.

Is this outcome socially efficient?

  • This outcome is not socially efficent.

  • This outcome is socially efficient.

c. Suppose Kris suggests a proportional tax on income to pay for the police officer. If Sabrina earns $4,000 per week, Kris earns $1,500 per week, and Kelly earns $500 per week, what proportional tax on income would just cover the cost of the police officer?

Instructions: Enter your response as a percent.

A proportional tax rate: %

Will the majority of them support the tax?

  • Yes, all three would support the tax.

  • No, all three would not support the tax.

  • No, two of them would not support the tax.

  • Yes, two of them would support the tax.

d. Is a regressive tax system likely to lead to the socially optimal outcome in this case?

  • No

  • Yes

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