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Question: A person needs $18,000 immediately as a down payment on a new home. Suppose that she can borrow this money from her company credit union. She will be required to repay the loan in equal payments made every six months over the next 12 years. The annual interest rate being charged is 10% compounded continuously. What is the amount of each payment?
Find the curve connecting two points A(0,0) and B(2,0) such that the length of the line is a minimum and the area under the curve is π/2.
Briefly explain why the Bernoulli process assumptions might not hold here - What is the largest value of n so that P(Y > 0) = 0.02?
What is the value of G for a perfectly egalitarian society (everybody has the same income)? What is the value of G for a perfectly totalitarian society a single person receives all the income?
For each property either prove that the property holds or give a counter-example (or reason) demonstrating that the property does not hold.
What is the average (mean) score in the class? What is the median score? Compute the standard deviation of the data using equation 10.4 and a calculator.
a) What is the project's duration if only normal times are used? b) What is the minimum-cost schedule? c) What is the critical path for the minimum-cost schedule?
Using the notation of Figure state precise conditions for detecting infeasibility and/or unboundedness in the self-dual simplex method.
Using the data provided inTable 8-5 in your textbook, determine the production frontiers for the Durham Health Clinic. Which station should be expanded to increase the overall capacity of the clinic, and why?
This is liner programming problem for optimization of an objective function subject to some liner constraints. There are two profit maximization problems and two cost minimization problems.
Assuming X is income and Y is restaurant meals, a regression equation was estimated to be: Y = -4 + 0.5*X .
It is estimated that you will pay about $80,000 into the Social Security system (FICA) over your 40-year work span. For simplicity, assume this is an annuity.
The formula for the Shapley value is where i is the set of all coalitions S ⊂ N containing i as a member (i.e., i ∈ S). Show that an equivalent formula is
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