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 full-time (5 days a week @ $650.00 per month), but in addition a part-time slot of (3 days a week Monday, Wednesday, & Friday @ 460.00 per month) and a (2 day a week Tuesday & Thursday @ 350.00 per month). The 50 full time only slots net us an income of $32,500.00 per month, but the replacement of the varying schedules increase the income dramatically. For exampl... click for more

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?