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As the chief engineer in charge of a proposed major civil engineering structure in your country's capital, you have a fiduciary responsibility to optimize the use of taxpayer dollars in maintaining the system. You have been tasked with developing a maintenance program for the new system from now (year 0) until the end of its service life in 75 years. For each year of this horizon period, you seek to determine whether or not to undertake some repair activity. There are three categories of repair that you could undertake: major maintenance, minor maintenance, or simple routine maintenance. Every year, you need to apply only one of these repair categories. Each repair category has an associated benefit and cost. You seek to maximize the ratio of total benefits to total costs over the life cycle. The overall maintenance budget over the life cycle is $C. Other constraints are that the total benefit must be at least a certain threshold, R units.
(a) What kind of knapsack problem is exemplified by this problem? Give reason for your answer.
(b) Using suitable decision variables, write a simple but complete mathematical formulation for this optimization problem.
A burglar plans his crimes so carefully that the lengths of the burglary are uniformly distributed between 50.0 and 52.0 minutes. Find the probability that a given burglary runs between 51.0 and 51.5 minutes.
Let X(n) be the number of individuals in the nth generation of a branching process (X(0) = 1), and set Tn = 1 + X(1)+ · · · + X(n), that is, Tn equals the total progeny up to and including generation number n.
1. determine the number of ways in which a jury of 6 men and 6 women can be selected from a group of 14 men and 13
What is your initial perception of this information? What are other ways, beyond looking at the p-value alone, you could use to try to interpret what this outcome of r(2398) = -.21 tells us about the relationship between length of time taking drug..
Assuming the population of Math SAT scores for seniors in the district is approximately normally distributed, a 90% confidence interval for the mean Math SAT score μ for the population of seniors computed from these data is?
He is twice as likely to visit city X than the other city. Obtain the transition probability matrix. Also determine the proportionate visits by him to each of the cities in the long run.
Assume in a single game sudden death playoff between team A and team B that team A would win with probability 0.6.
Find out best decision, by using following decision criteria.
an analysis of 25 sea turtles rescued indicates the average weight is 321.4 kg with a standard deviation of 73.8 kg.
Find the probability that on a given shift: (1) Exactly 2 workers will be absent; (2) More than 4 workers will be absent. [Given that e to the power of -3 is equal to 0.04979]
Using excel, calculate the correlation coefficient, r, for the two variables. How would you interpret this measure?
Find the probability that a random sample of size 54, selected with replacement, will yield a sample mean greater than 4.1 but less than 4.4. Assume the means to be measured to the nearest tenth.
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