Question $3$

Consider the following problem.

Question $2$

Consider the following peoblem.

min,$z=7x_{2}4x_3$

$s.t.x_{1}2x_2-x_{3}10$

$,3x_1-3x_2-x_{3}12$

$,x_{1}0,x_{2}0,x_{3}0$

a$.(5$ pts$)$ Construct the dual peoblem.

b$.(3$ pts$)$ How mary corner points would you expect?

c$.(12$ pts$)$ Find all corner point solutions for the primal problem and their associated dual solutions using complementary slacknex. Clearly indicate which points are feusible$/$infeasible and respective objective function valoes. $($Feel froe to add rows in the table belons, of need be$.)$ Underlise the optimal solution as well.

PRIMAL

$\backslash$table$[[$Solution SCObj. Func. Val. Question $3$

Consider the following problem.

Question $2$

Consider the following peoblem.

min,$z=7x_{2}4x_3$

$s.t.x_{1}2x_2-x_{3}10$

$,3x_1-3x_2-x_{3}12$

$,x_{1}0,x_{2}0,x_{3}0$

a$.(5$ pts$)$ Construct the dual peoblem.

b$.(3$ pts$)$ How mary corner points would you expect?

c$.(12$ pts$)$ Find all corner point solutions for the primal problem and their associated dual solutions using complementary slacknex. Clearly indicate which points are feusible$/$infeasible and respective objective function valoes. $($Feel froe to add rows in the table belons, of need be$.)$ Underlise the optimal solution as well.

PRIMAL

$\backslash$table$[[$Solution SCObj. Func. Val.