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A clever but ethically corrupted mathematics student used to sell assignment solutions to her lazy fellow students. The student, however, learned that she can make much more money by charging the students fees for doing the assignments with them. This semester the students need to complete three assignments. One in Statistical Models, one in Introduction to Partial Differential Equations and one very difficult one in Optimization and Financial Mathematics.It takes 2 hours to explain the assignment to one student for Statistical Models, 1/2 hours for Introduction to Partial Differential Equations and 5 hours for Optimization and Financial Mathematics. The student can charge 5$, 50 Cents and 10$ per hour for Statistical Models,Introduction to Partial Differential Equations and Optimization and Financial Mathematics,respectively. In Statistical Models there are not more than 10 students wanting her service.In Introduction to Partial Differential Equations there are more than 50 students wanting her service and she has obligations to take at least 50. In Optimization and Financial Mathematics the course with the most diligent students, there are not more than 2 students wanting her service. How many students from each course will the clever student offer her service to maximize her profit, if she does not want to spend more than 50 hours on the assignments?
(a) Formulate this as a linear programming problem
(b) Solve the problem using the two-phase simplex algorithm.
a set of data is normally distributed with a mean of 500 and standard deviation of 100.what would be the standard score
Probability & Statistics Questions. A machine produces 12,000 bolts per day, with a 3% defect rate. What is the probability that twelve defective bolts will be found in a sample of 600 bolts?
Use the method of shells to find the volume of the solid obtained by revolving the region bounded by the given curves about the y - axis.
At the beginning of an experiment, a scientist has 372 grams of radioactive goo. After 105 minutes, her sample has decayed to 46.5 grams. What is the half-life of the goo in minutes?
Find the solution of the differential equation
How many times did Jeff's ball bounce?
in the coordinate planewhat is the total number of points that are 8 units from the origin and equidistant from the
The centroid C shown in figure 6.6.14(shows an upside down triangle centered on the y axis topped the an arc "h" high) appears to lie about one-third of the way from the arc to the horizontal chord joining its endpoints
1. In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:
Assume that n is a positive integer. Use the proof by contradiction method to prove: If 7n + 4 is an even integer then n is an even integer.
Write a one-page, four-paragraph essay explaining an equation you will develop. Your essay must be carefully planned and written using well-constructed sentences and paragraphs. Make sure that your grammar and spelling are correct. Points will be awa..
The meatball is being stored in the fridge at 35 degrees F. The meatball will go into a convection oven at 350 degrees F (surface is maintained at precisely 350 for the duration of cooking)
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