Solving a Nonstandard Problem a. If necessary, convert the problem to a maximization problem. b. Add slack variable and subtract surplus variables as needed. c. Write the initial simplex tableau.…
Month: July 2014
Solving a Standard Minimum Problem with Duals
Solving a Standard Minimum Problem with Duals a. Find the dual standard maximization problem. b. Solve the maximization problem using the simplex method. c. The minimum value of the…
Theorem of Duality
Theorem of Duality The objective function w of a minimization linear programming problem takes on a minimum value if and only if the objective function z of the corresponding…
Standard Minimum Form
Standard Minimum Form A linear programming problem is in standard minimum form if the following conditions are satisfied. a. The objective function is to be minimized. b. All variables are…
Simplex Method
Simplex Method a. Determine the objective function. b. Write all the necessary constraints. c. Convert each constraint into an equation by adding slack variables. d. Set up the initial…
Standard maximum Form
Standard maximum Form A linear programming problem is in standard maximum form if the following conditions are satisfied. a. The objective function is to be maximize. b. All variables are…
Finding a Production Matrix
Finding a Production Matrix To obtain the production matrix, X, for an open input-output model, follow these steps: a. Form the n n input-output matrix, A, by placing in…
Finding a Multiplicative Inverse Matrix
Finding a Multiplicative Inverse Matrix To obtain A-1 for any n n matrix A for which A-1 exist, follow these steps. a. From the augmented matrix [A | I ],…
Inverse Matrix A-1
Inverse Matrix A-1 AA-1 = I and A-1 A = I ? A = A-1 = Note:- A-1 does not mean ; here , A-1 is just the notation for…
Identity Matrix
Identity Matrix If I is a the identity matrix, both of the products AI and IA must equal A. This means that an identity matrix exists only for square matrices.…
Recent Comments