3. A new large scale senior community isbeing developed, and one of the decisions to be made is where to locate the twofire stations that have been allocated to the community. For planning purposes, the community has beendivided into five tracts, with no more than one fire station to be located inany given tract. Each station is torespond to all of the fires that occur in the tract in which it is located aswell as in the other tracts that are assigned to this station. The followingtable gives the average response time (in minutes) to a fire in each tract (thecolumns) if that tract is served by a station in a given tract (the rows). The bottom row gives the forecasted average number of fires that willoccur in each of the tracts each year. Formulate this problem situation as an integer programming model.

 

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3. A. Calculate the payoff at expiration for a call option on an interest rate in which the underlying is a 180-day interest rate at 6.53 percent at expiration, the notional principal is $10 million, and the exercise price is i. 5 percent ii. 8 percent

 

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3.Evaluate the profitability of the project whith the NPV ,IRR, simple payback period ,and discounted payback period methods.Is the project acceptable? Briefly explain. Why is the NPV method superior to the other methods of capital budgeting? Briefly explain.

 

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3.    Suppose that f : [0, ∞) → C is continuous, piecewise continuously differentiable, and of exponential order α ∈ R. Show that the Laplace transform of ft exists on Hα and is

given by

 

 

 

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3. Suppose that country I increases its willingness to trade at the same time that trading partner country II decreases its willingness to trade. What can be said about the resulting impact on the terms of trade and on the volume of trade? (Note: You will not be able to say anything concrete about one of these impacts. Why not?)

 

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