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Explain the connection between reduced costs and the range of optimality, and between dual prices and the range of feasibility.
1. A histogram for Gaussian "Normal" random variable X_1 with zero-mean and unit variance. Calculate its mean and variance. 2. Repeat 1 for a uniformly distributed random variable X_2 on the interval [-1,1]
Compute the volume of the solid obtained by rotating the region underneath the graph of y = 1-x2 over the interval [-1, 1] about the line x = 7.
Question 1: When comparing two population means with an unknown standard deviation you use a t test and you use N-2 degrees of freedom.
Find the dollar weighted (simple interest) yield rate and the time weighted yield of the account for this year.
It will sell "ordinary" T-shirts at profit of $4 each, "fancy" T-shirts at profit of $5 each, and "very fancy" T-shirts at a profit of $4 each. How many of each kind of T-shirt should the club order to maximize profit?
1. A research study performed at checkout lines at Publix Supermarket in South Florida revealed that between 4pm and 7pm on weekdays there is an average of 4 customers waiting in line. What is the probability that you visit a Publix today during t..
They play a central role in Fast Fourier Transforms and in digital signal processing, among other things.) It is easy to see that Bay is a vector space of functions.
Government regulations require equal distribution of shipping among the three carriers. Formulate and solve a linear program to determine the shipping arrangements (mode, destination, and quantity) that will minimize the total shipping cost.
Use the definition of the derivative to determine the derivatives of the following functions.
A normal resting heart rate for adults ranges from 60 to 100 beats a minute," reports Dr. Edward Laskowski of the Mayo Clinic. Lower resting heart rates are generally associated with higher cardiovascular fitness.
Formulate a linear programming problem to minimize total cost for this transportation problem. Solve the linear programming formulation from part (a) by using either Excel or QM for Windows. Find and interpret the optimal solution and optimal value..
An irrigation scheme is fed from a river via a diversion channel. The irrigation channel is 2 m wide and is constructed of concrete with an estimated value of 0.019 for the Manning n. The bed slope is 0.0025.
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