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Question: A containing tank is to be constructed that will hold 500 cubic meters of oil when fIlled. The shape of the tank is to be a cylinder (including a base) surmounted by a cone, whose height is equal to its radius. The material and labor costs to construct the cylindrical portion of the tank are $300 per square meter, and the costs for the conical top are $400 per square meter. Write a program that calculates the heights of the cylinder and the cone for a given radius that is input and that also calculates the total cost of constructing the tank. Starting with a radius of 4.0 meters and incrementing by various (small) step sizes, run your program several times to determine the dimensions of the tank that will cost the least.
A construction company is considering changing its depreciation from the MACRS method to the historical SL method for a general purpose hauling truck.
Provide a plausible research question in the field of education that implies one of the ANOVA studies. Identify your research question, your research (alternative) hypothesis, and your null hypothesis. Also, identify your independent and dependent..
Find the absolute maximum and minimum values of the function f (x) = 2x^3 + 6x^2 - 2x on the following two intervals:
Consider the project network pictured in Figure. Assume that the times attached to each node are the means and the variances of the project completion times.
Combine the results of problem II and problem I to prove that Reid's bump-reducing procedure permutes V into an upper triangular matrix QVR.
If AB = AC, where A is a square matrix, when does it necessarily follow that B = C? Give an example in which this does not follow.
Calculate the IRR for each of the three cash-flow diagrams that follow. Use EOY zero for (i) and EOY four for (ii) and (iii) as the reference points in time.
Given the following bases in R2, and the vector b' = [5, 5], find the "measurements" of the vector b according to each basis. Hint: Graph the dual space.
What is the NPV of the project? Should the company make the purchase?
Explain why in decision analysis we are concerned with the expected value of information.
A company has the opportunity to take over a redevelopment project in an industrial area of a city. No immediate investment is required.
Let Var[W(t)] = g(t). Show that, from properties 2 and 3 alone, g(t) must be of the form g(t) = at.
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