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A company has $1,00,000 to invest in new R&D projects. The company wants to determine what set of projects should be selected.
The following table summarizes the initial cost and revenue potential for each of the projects.
Project
Initial Cost
Expected Revenue
1
$500,000
$1,500,000
2
3
$1,800,000
4
a.) Formulate an LP model for this problem with the objective of maximizing total profit.
b.) Implement your model in a spreadsheet and solve it.
c.) What is the optimal solution?
What is the probability that this show will be cancelled if 13.4% of all viewing households are watching it? That is, what is the probability that a sample will lead to rejection of the null hypothesis?
At the 5% level of significance, can we infer that the population mean weight of athletic men is lower than the population mean weight of non-athletic men by more than 2 pounds?
She samples a group of 100 new fathers and finds that their mean is 64.5. What is the variance on this questionnaire in the general population?
With reference to Exercise 25, use the large-sample confidence-interval formula of Exercise 19 to construct a 98% confidence interval for the standard deviation of the time it takes a mechanic to perform the given task.
A personnel manager is concerned about absenteeism. She decides to sample the records to determine if absenteeism is distributed evenly throughout the six-day workweek.
The changing ecology of the swamps in Louisiana has been the subject of much environmental research. One water-quality parameter of concern is the total phosphorous level.
Traveling Salesman Problem/Triangle Inequality) Consider a symmetric traveling salesman problem where the arc costs are nonnegative and satisfy the following triangle inequality:
If 20 measurements are taken and their standard deviation is 1.8, is there enough evidence to reject the claim that her standard deviation is within the limit at ∞ = .01?
A normal distributed population has a mean of 250 pounds and a standard deviation of 10 pounds. Given n = 20, what is the probability that this sample will have a mean value between 245 and 255 pounds?
a bank with branches in a large metropolitan area is considering opening its offices on saturday but it is uncertain
there are 1000 natural numbers a1 a2.... a1000. prove that of the numbers 3a1 3a2.... 3a1000 there must be 56 of them
the weather forecast for tomorrow indicates that there is a 70 chance that there will be a high wind speed. the
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