Question

For the linear programming problem to the right, (a) Set up the initial simplex tableau. (b) Determine the particular solution corresponding to the initial tableau. Maximize 6x + 13y subject to the constraints. 20x + 30y s 3500 55x + 10y <6000 x20 y20 (a) Set up the initial simplex tableau. х у u V M 0 20 1 0 10 0 1 0 6000 -6 0 0 1 0 (b) Determine the particular solution corresponding to the initial tableau. X= =O) y= u= VE M= 0

Answer 1

To set up the initial simplex tableau, represent the objective function and constraints in a matrix format. Determine the particular solution corresponding to the initial tableau by looking at the values in the RHS column.

Step-by-step explanation:

To set up the initial simplex tableau for the given linear programming problem, we will represent the objective function and constraints in a matrix format. The first row of the tableau represents the objective function coefficients, while the remaining rows represent the constraint coefficients and the right-hand side values.

The initial tableau is as follows:

Initial Tableau:

RowVariableCoefficients

RHS

1x-602y013u060004v105M00

To determine the particular solution corresponding to the initial tableau, we look at the values in the RHS column. The values of x, y, u, and v are all 0. Therefore, the particular solution corresponding to the initial tableau is:

x = 0, y = 0, u = 0, v = 0