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(Proof of a Weaker Version of the Duality Theorem) Show that if the primal problem is feasible and the intervals Xij are compact, then the optimal primal and dual costs are equal (even though the dual problem may not have an optimal solution)
Statistics and Probability, Statistics
The J.O. Supplies Company buys calculators from a Korean supplier. The probability of a defective calculator is 20%. If 15 calculators are selected at random, what is the probability that less than 5 of the calculators w ...
Blooper Industries must replace its magnoosium purification system. Quick & Dirty Systems sells a relatively cheap purification system for $15 million. The system will last 5 years. Do-It-Right sells a sturdier but more ...
A professor determines that 95% of her students prefer getting weekly homework assignments to solving two in-class problems at the end of the semester. What is the probability that a particular student prefers solving in ...
The local police department must write an average of 5 traffic tickets each day to keep department revenues at budgeted levels. Suppose the number of tickets written per day follows a Poisson distribution with a mean of ...
A company that supplies batteries for watches guarantees that 95% of the batteries it ships will be free from defects. You test a sample of 50 batteries you received. You find that fewer than 10 have defects. Does this l ...
Future Value of an Annuity What is the future value of a $470 annuity payment over 7 years if the interest rates are 6 percent?
Folgers has specified that the average amount of coffee that goes into one of their small coffee cans is not to exceed 13.24 ounces. A quality control inspector for Folgers takes a random sample of 16 cans and found the ...
Assume that showing a car is a Bernoulli trial, and each time she shows a car, there is a probability of 0.15 that the customer will buy the car. The saleswoman has a goal of selling at least one car a week. 1) How many ...
Seedlings come in packages of 10 and consist of the following: 2 Douglas-fir, 3 spruce, and 5 pines. In any given package, how many ways can the 10 seedlings be arranged if seedlings that are the same species cannot be d ...
Jennifer currently has $500 in an account with an annual rate of return of 4.3%. She wants to have $6000 for a trip to Alaska when she graduates in 4 years. How much will she have to save each month to afford her trip?
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Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate
Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p
Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As
Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int
Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As