Linear Programming and Simplex Methods

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Linear Programming

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Finite Math Questions

(attached) Please send a .doc file as a response. Thanks for your help! --- 1) Solve the following system of equations that model supply and demand for a product: p - q = 0 ( supply equation ) cp - q = -1 ( demand equation ) where p = price and q = quantity Solve first when c = 0.999 and a second time when c = 1.001. What does the difference in solutions suggest about the importance of having highly accurate coefficients in the system? Remembering that this is a model of supply and demand, are there any solutions that can be tossed out? Why? 2) What is Gauss Elimination? Write a brief summary of what this is. For what type of systems of equation... click for more

Finite Math

What computer applications can be used to graph systems of equations? Have you ever personally used any applications to graph an equation? In what circumstances does it make more sense to graph a system than to use the substitution, elimination, or matrix methods?

Finite Math

(See attached file for full problem description) --- 1. What is marginal cost? Fixed cost? Find the slope for each line that has a slope. 3. Through (-2, 5) and (4, 7) 5. Through the origin (11, -2) 7. 2x + 3y = 15 9. y + 4 = 9 11. y = -3x Find an equation in the form y = mx + b (where possible) for each line. 13. Through (5, -1); slope = 2/3 15. Through (5, -2) and (1, 3) 17. Through (-1, 4); undefined slope 19. Through (2, -1), parallel to 3x - y = 1 21. Through (2, -10), perpendicular to a line with undefined slope 23. Through (-7, 4), perpendicular to y = 8 Graph each linear equation as follows. 25. y = 6 - 2x 27. 2x + 7y = 14 29. y = 1 31. x +3y = 0 ... click for more