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Question: 1. The winner of a state lottery will receive $5,000 per week for the rest of her life. If the winner's interest rate is 6.5% per year compounded weekly, what is the present worth of this jackpot?
2. What is the maximum price you will pay for a bond with a face value of $1,000 and a coupon rate of 14%, paid annually, if you want a yield to maturity of 10%? Assume that the bond will mature in 10 years and the first payment will be received in one year.
Is the larger sample changing anything? Is your mean increasing or decreasing? Do you think the current sample you have is enough to paint an accurate picture, or do you need a much larger sample?
An extra hour of machine time costs $100, and an extra hour of labor costs $50. If the company has $100 to invest in purchasing additional labor and machine time, would it be better off buying I hour of machine time or 2 hours of labor?
Modeling - Math 056 - Homework 7. Define the remaining necessary parameters and write a linear system of differential equations to model the behavior. For the students who have taken differential equations, find solutions for x1(t), x2(t)
Compute the optimal order quantity, the total minimum inventory cost, and the reorder point.
a) Find the optimal solution to the Relaxation LP. b) Find the optimal solution to the All-integer LP. Is it the same as that obtained in part (a)?
Explain this result (including the underlying logic of the computations) to a person who understands hypothesis testing involving a single sample and a known population, but knows nothing about t tests.
If we equip the set E of all continuous functions f: [0, 1] → R with the metric d(f, g) = maxx∈[0,1]|f(x) - g(x)|, E becomes a complete metric space. Define S = {f ∈ E: f'(x) exists for all x ∈ (0, 1)}
Explain the following statement with an example: the optimal solution to a linear programming problem can be found at an extreme point of the feasible region for the problem.
An electronic module used by the Navy in a sonar device requires replacement on the average once every 16 months and fails according to a Poisson process.
Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice.
There are 2500 labor hours and 4,000 square feet of lumber available each week. Determine the product mix that maximizes weekly profit.
On May 1, a lazy MBA student suddenly realizes that he has done nothing on seven different homework assignments and projects that are due in various courses.
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