Equation of an Ellipse, Interest and Lotto Probability

Several state and federal government spokespersons who use linear equations in a variety of ways. 1. An employee of the National Parks Service told you about a location in Washington, DC. It is a large grassy area south of the White House known as the Ellipse. The National Tree Lighting Ceremony is held annually on the Ellipse ...continues

Symplectic Matrix, Determinant, Characteristic Polynomial and Eigenvalues

If ' is a symplectic matrix show that det ' = 1. Also prove that....where P(...) = det(,,,) is the characteristic polynomial of '. Finally, if ... is an eigenvalue with multiplicity k of ' then the same is true for...

Business Calculus : Come up with an original optimization project.

I would like for you to complete an optimization project. Examples include: the optimum number of hours to study for an exam, the best time to leave for work to avoid traffic, the optimum speed to drive a dirt bike up a hill to achieve the longest jump. I would like you to follow "The Process of Problem Solving" found below ...continues

System of Equations and Linear Programming : Solving Subject to Constraints

1. Solve the following system of simultaneous equations: 6x1 + 4x2 = 40 2x1 + 3x2 = 20 x1 = ??? put your answer in the form x or x.x 2. Max Z = 5x1 + 3x2 Subject to: 6x1 + 2x2 <= 18 15x1 + 20x2 <= 60 x1 , x2 >= 0 Find the optimal profit. Z=? put your answer in the form x.xxx 3. Consider the ...continues

Linear Programming Problem

(See attached file for full problem description) --- Consider the following linear programming problem... --- (See attached file for full problem description)

Linear Programming : Maximizing Subject to Constraints

1. Consider the following integer linear programming problem. Max Z = 3x1 + 2x2 Subject to: 3x1 + 5x2 <= 30 4x1 + 2x2 <= 28 x1 <= 8 x1, x2 >= 0 and integer The solution to the linear programming relaxation is: x1 = 5.714, x2= 2.571. What is the optimal solution to the integer linear programming problem? State the valu ...continues

Relations Versus Functions and an Application : Formula that Converts Temperature from Degrees Celsius to Degrees Fahrenheit

In the real world, what might be a situation where it is preferable for the data to form a relation but not a function? There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points: Fahrenheit ...continues

Linear programming

Need help with review problems

I cant figure out the equation, i need to get answers to graph.

Between 1981 and 1991, water use in Canada increased for some purposes and decreased for others. The following table provides a summary. Water consumption(millions of m cubed) category of use 1981 1986 1991 ...continues

Linear Programming : Formulate a Model for Minimizing Wages of Parking Lot Attendants

Each day workers at Sprinfield Mall parking lot work two 6 hour shifts from 12 A.M. to 6 A.M., 6 A.M. to 12 P.M., 12 P.M. to 6 P.M., and 6 P.M. to 12 A.M. The following number of workers are needed during each shift: 12 A.M. to 6 A.M. - 15 workers; 6 A.M. to 12 P.M. - 5 workers; 12 P.M. to 6 P.M. - 12 workers; 6 P.M. to 12 ...continues