Calculating the standard deviation from a frequency table.

Find the standard deviation of the data in the given frequency table. A company had 80 employees whose salaries are summarized in the frequency table below. Find the standard deviation. Salary / Employees 5001-10000 / 17 10001-15000 / 16 15001-20000 / 20 20001-25000 /15 25001-30000 /12

Solving system of equations: Supply and Demand Equations

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 o ...continues

Matrices

What must be true about x,y,z,w, if we require AB = BA for the matrices A= [x y] and B= [ 1 1] [z w] [-1 1]

Simplex Method

Maximize P = 100x1 + 200x2 + 50x3 Subject to the constraints 5x1 + 5x2 + 10x3 < = 1000 10x1 + 8x2 + 5x3 < = 2000 10x1 + 5x2 < = 500 x1 > = 0 x2 > = 0 x3 > = 0

Working with the simplex method.

Maximize P= 40x1 + 60x2 + 50x3 Subject to the constraints 2x1 + 2x2 + x3 < = 8 x1 - 4x2 +3x3 < = 12 x1 > = 0 x2 > = 0 x3 > = 0

Working with the simplex method.

Minimize C = 2x1 + x2 Subject to the constraints 2x1 + 2x2 + > = 8 x1 - x2 > = 2 x1 > = 0 x2 > = 0

Linear Programming: Simplex Method

How would I turn this real world problem into a linear programming problem? The licensing capacity of a preschool is 50, which is the constraint. Initially all children attended full time. The changes incorporated were the creation of three different enrollment positions for children to attend our school. One is the normal f ...continues

Working with the simplex method.

Maximize P= 300x1 + 200x2 + 450x2 Subject to the constraints 4x1 + 3x2 + 5x3 < = 140 x1+ x2+ x3 = 30 x1 > = 0 x2 > = 0 x3 > = 0

Working with a linear problem and the simplex method.

Formulation for Simplex Method: Variables : F = Full time students P1= Part time attending 3 days P2 = Part time attending 2 days Objective Function : Max Z = 650*F + 460*P1 + 350*P2 Constraints : F + P2<= 50 F + P1<= 50 F,P1,P2 >0

Mortgage calculations.

House Mortgage Mr. and Ms.Ostedt have just purchased an $80,000 home and made a 25% down payment. The balance can be amortized at 10% for 25 years. (a) What are the monthly payments? (b) How much interest will be paid? (c) What is their equity after 5 years?