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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.
Suppose that each of the players has a defined strength (all different), and the strongest player wins each match. then is it clear that the first prize goes to the strongest of all the players. what is the probability that the second prize goes t..
Sketch a graph of the following functions: g(x) = |2x2 - x -15|. Specify whether each function is even , odd, or neither. Write down the intervals in which each function is increasing
Please provide an explanation of Modular Arithmetic. I find it very confusing and am having trouble understanding the definitions and applying them.
The fuel consumption c of Micheal's car ( measured in gallons per hour ) is a function of speed ( or velocity ) v of the car ( measured in miles per hour). Since he has owned the car for several years now, Micheal has determined through experimentati..
Where f , h, and m are given functions, Y is national income, C is consumption, I is investment, G is public expenditure, T is tax revenue, r is the interest rate, and M is the money supply (or more exactly, the quantity of money in circulation). ..
Explain how you define the nodes xk that represent the dates above - Define a global interpolating polynomial Pr that passes through all data points given for the time of sunrise.
Quiz 6. Use a double integral to find the area of the region of points that lie inside the circle (x - 1)2 + y2 = 1 and outside the circle x2 + y2 = 1
Rocking technologies (RT) have just developed a solar panel capable of generating 200% more electricity than any solar panel currently on the market. As a result, RT is expected to experience a 15% annual growth rate for the next 5 years. By th..
How many keys do we need to have probability at least two thirds that some slot has at least two keys hash to it?
Elena's daughter sold 69 boxes of Girl Scout cookies. She was told that this amount represented 20% of the troop's sale. How many boxes did the troop sell?
Assume the probability that a person has the desease is 0.04 for all people, independently of each other, and compute the expected number of tests necessary for each group.
A wooden artifact from an ancient tomb contains 30 percent of the carbon-14 that is present in living trees. How long ago was the artifact made? (The half-life of carbon-14 is 5730 years.)
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