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A busy professor has to complete N projects. Each project i has a deadline di and the time it takes the professor to complete it is Ti. The professor can work on only one project at a time and must complete it before moving on to a new project. For a given order of completion of the projects, denote by ti the time of completion of project i, i.e
The professor wants to order the projects so as to minimize the maximum tardiness, given by
Use an interchange argument (cf. Exercise 10.24) to show that it is optimal to complete the projects in the order of their deadlines (do the project with the closest deadline first).
Use factoring, the quadratic formula, or identities to solve the following equations:
North Carolina State University looked at the factors that affect the success of students in a required chemical engineering course. Students must get a C or better in the course in order to continue as chemical engineering majors.
By looking into this box plot what can you conclude: is this data skewed left, skewed right or it is symmetric
the table below gives information on coded length measurements in a machining process. the data shown are macrx and r
Construct a 95% confidence interval estimate of their mean weight.
Repeat the calculations in part b for samples of size 5 and 2. What effect does a change in the sample size appear to have on the dispersion of the sampling errors?
four balls are randomly placed one at a time into four urns so that it is possible for more than one ball to be in any
An experiment was conducted to compare the effectiveness of three training programs, A, B, and C, in training assemblers of a piece of electronic equipment.
a print shop has three critical machines that essentially deter-mine the productivity of the shop. they are each
consider a class in which there are 40 students enrolled. in what follows ignore february 29thjohn is a student in this
Assume it is known that the distribution of purchase amounts by customers entering a popular retail store is approximately normal with mean $25 and standard deviation $8.
The producers of a new toothpaste claim that it prevents more cavities than other brands of toothepaste. A random of 60 people used the new toothpaste for 6 months.
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