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Question: 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 rectangular piece of cardboard whose area is 216 square centimeters is made into a cylindrical tube by joining together two sides of the rectangle. If the tube is to have a volume of 224 cubic centimeters what size of cardboard should you start ..
What is an antisymmetric relation?
The RideEm Bicycles factory can produce 110 bicycles in a day at a total cost of $10,600 and it can produce 130 bicycles in a day at a total cost of $11,200. What are the company's daily fixed costs.
Solve the equation 3x = x(2 - x) + 3 graphically. First, collect all terms on the left of the equal sign. This gives x2 + x - 3 = 0. We then let y = x2 + x - 3.
RETIREMENT ACCOUNTS Mai Lee has contributed $200 at the end of each month into her company's employee retirement account for the past 10 yr.
If 1100 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Tortoise leaves the starting line, "sprints" at the rate of 4 meters per minute, and runs a steady race. Hare leaves the starting line running at a rate of 20 meters per minute and runs steadily for 2 minutes. Draw a graph that shows the progress ..
the cost to rest a car is 30 per day.write an expression for the cost of renting a car for d days. make a table to
List the simple events associated with each experiment. METEOROLOGY A meteorologist preparing a weather map classifies the expected average temperature.
Let p(x) stand for "x is a prime," q(x) for "x is even," and r(x, y) stand for "x = y." Write down the statement "There is one and only one even prime,".
Solve the differential equation d2y/dx2 -7dy/dx+6y=(x-2)ex
Flip the fern by interchanging its x - and y -coordinates. What happens to the fern if you change the only nonzero element in the matrix A4?
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