Word Count : 804

---

We are asked to solve the LPP using the dual simplex method. Let’s solve it step by step manually. We have: Minimize: [ z = 3x_1 + x_2 ] Subject to: [ x_1 + x_2 \ge 1 ] [ 2x_1 + 3x_2 \ge 2 ] [ x_1, x_2 \ge 0 ] --- Step 1: Convert constraints to standard form for dual simplex For the dual simplex method, all constraints should be of the form (\le) for a minimization problem, but it’s more common to convert (\ge) constraints into (\le) by introducing surplus variables: [ x_1 + x_2 - s_1 = 1, \quad s_1 \ge 0 ] [ 2x_1 + 3x_2 - s_2 = 2, \quad s_2 \ge 0 ] Now the system becomes: [ x_1 + x_2 - s_1 = 1 ] [ 2x_1 + 3x_2 - s_2 = 2 ] Since we have surplus variables, the initial basic feasible solution (BFS) with (s_1, s_2) as basic variables is infeasible _________ ________ _______ ___ ___ ______ ________.
____ ____ _________ __________ ___ ______ _____ ____ _________ _________.
__________ __________ ________ ___ ____ ______ ________ __________ _______ ___ ______ _______.
______ __________ __________ _______ ______ ____ _________ ___.
______ ______ ______ ____ _____.
____ ______ ______ ____ ______ _______ __________ ______.
___ ________ ______ _________ _________ __________ __________ ____ _________ ___ _____ ___.
__________ _____ ____ ______ ______ ______ ______ _____ _______ ___ ________ __________.
_______ __________ ________ __________ __________ ___ __________.
________ ________ ___ __________ ___ _________ ________ ___ ______.
___ ____ ___ _______ _________ _____ ______.
_______ _____ ____ _________ ________ ____ _______ _________ _______.
_________ ______ ______ ___ ________ ___ __________ ____ __________.
_______ ________ __________ ____ _____.
__________ ___ ______ _______ ______ __________ _________ ________ ________ ___.
__________ ________ __________ ______ __________.
________ __________ ____ ___ _________.
_________ _____ __________ _________ ____.
__________ ____ ______ _______ ________ ______ ____ ______ _____ ___.
______ _____ ________ ____ ____ __________ ________ ________ ____ _______ ___ _______.
______ ________ _____ ____ ____ _____ ____ ________ __________ __________.
______ ____ __________ __________ _________ ________ ________ ___ _______ ______ _________ ________.
_______ _____ ___ __________ ______ __________ ____.
_________ ____ __________ _____ ______.
_____ ____ _________ _______ ________ ___ ____ ______ _____ _________ ________.
______ ______ _________ ________ _____.
____ ______ _______ ____ ______ ________ ___ ________ _______ _______ ___.
_______ __________ __________ _____ ____ ______.
______ ______ ___ _____ ___.
_____ ____ _________ ____ ______.
_________ __________ __________ ________ __________ ___ ________.
_________ _________ ______ _________ _____ ___ ___ __________.
____ __________ _______ ________ __________ ________ _______ _____.
_______ _________ ____ _________ _______ _______ ______ ________.
____ ___ _________ ________ ______ _____.
___ ____ ________ ___ _____ ___ _______ __________ __________ _______ __________ _________.
_____ _____ _______ __________ __________ ______ _____.
___ ______ ______ __________ _______ __________ ______ __________ ______ ______ _________ __________.
____ ______ ____ _________ _____ ________ _______ ___ _________.
___ __________ _______ ________ _________ ____ ___ _____.
________ __________ ___ ______ __________.
______ _________ ______ _________ ___ __________ __________ _________ _____ ______ ____ _________.
_________ _____ _____ ____ _______ ______ _______ _______.
__________ _________ ___ __________ _______ _______ ________ _______.
_________ ___ ________ ________ _____.
_____ _______ _________ ________ _______ _______ ___ __________ _______ ______ ____ _______.
________ _________ __________ _____ __________ ______ _____ ____ __________.
________ _________ _____ ___ ___ __________.
_________ _____ _______ ______ ____ __________ ________ ___ _______ ______ _________ _________.
___ ____ _________ _________ _____ ________.
_____ ________ ________ ________ ___ _________.
____ __________ ____ _____ _________ ______ ________ _________.
_____ _____ ___ _____ ___ ___ ________ ___ ______ _______ __________.
___ _________ ____ ___ ________.
____ _________ _____ _____ _____ ________ ________.
_____ __________ ________ __________ ___.
___ _________ _______ _____ ________ _____ _________.
____ ______ ___ ___ _____ ________ _____ _______ ______.
_________ ________ _______ ___ ____ _____ _________ _________ _________ _________ ________.
___ ____ ___ _____ _________ _____ _____ _________.
_______ ________ ________ ________ _______ ________ ________ ____.
__________ ___ ________ ___ _______ _______ ________ ______ ________.
__________ ____ _______ _________ ______.
_______ ______ __________ ______ ___ __________ ______.
______ _________ ____ ________ _________ _______ ________ ________ _________ ____ ___.
___ ___ _____ _____ ______ _________ ________ ____ __________ _________.
____ _____ ___ _____ _________ ______ ________ ________ ______.
___ __________ ___ ______ _____ ______.
____ _______ ____ ___ __________ ________.
___ ____ ___ ____ ____ ______ _______ ____.
____ ________ _________ _________ _________.
__________ _______ _________ __________ _________ _______.
_________ ____ _______ _____ __________ _____ _______ __________ ________ ______.
_________ ______ _______ _____ _______ _________ __________ _________ _________.
______ ___ _________ _____ ________ ___ _______ ______ ___ _____.
_____ ___ _______ ______ _______ __________ ______ _____.
______ __________ ___ _______ __________ ___ ______.
__________ _______ ________ ____ _____.
_________ _________ __________ ___ _____ ____ __________ _______ _____.
_____ ___ _____ ______ _______ ______ ____.
Get Full Answer on WhatsApp