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The Elixer Drug Company produces a drug from two ingredients. Each ingredient contains the same three antibiotics in different proportions. One gram of ingredient 1 contributes 3 units, and ingredient 2 contributes 1 unit of antibiotic 1; the drug requires 6 units. At least 4 units of antibiotic 2 are required, and the ingredients each contribute 1 unit per gram. At least 12 units of antibiotic 3 are required; a gram of ingredient 1 contributes 2 units, and a gram of ingredient 2 contributes 6 units. The cost for a gram of ingredient 1 is $80, and the cost for a gram of ingredient 2 is $50. The company wants to formulate a linear programming model to determine the number of grams of each ingredient that must go into the drug in order to meet the antibiotic requirements at the minimum cost. Formulate a linear programming model for this program.
Which of the following exam scores should lead to the better grade?
Researchers at the Brigham & Women's Hospital recruited 2,000 participants to study the relation between diet and cholesterol.
A plane has two alternators with the probability that a given alternator will fail on a l hour flight is .02. What is the probability that both will fail
The ages of the automobiles are equally distributed among the three categories? what would the results suggest to a tire manufacturer?
A sample of 40 ovservations is selected from one population. The sample mean is 102 and the sample standard deviation is 5. A sample of 50 observers is selected from a second population.
Death during the next year for a person of your customer's age, sex,health etc is 0.002. What is the expected gain (amount of money made by the company) for policy of this type?
If 1000 men and 1000 women are to be interviewed, how accurately could you estimate the difference in the proportions who think that the performance of their atheltics teams has a positive impact on the perceived prestige of the institutions? Find..
Calculate an 85% confidence interval for the population mean number of wolf pups per den at southwestern United States (US).
Find the mean, median, mode, standard deviation, and variance. Analyze and explain why these statistical measures are important and how they apply to your data.
What is the purpose of a Wilcoxon signed-rank test? Explain. The Wilcoxon signed-rank test resembles which parametric test(s)? Explain.
If the mean μ does not differ significantly from 5.5 (that is, if the null hypothesis is true), then the probability of obtaining a sample mean y as far or farther from 5.5 than 5.4 is .1034.
Set-up/solve the problem graphically. (How many ceiling fans and how many floor fans should be made?)
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