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Consider the following linear program when converted into the

simplex form.

Minimize

$3x_1+2x2$

Subject to:

$7x1-2x2=>0$

$51+x2=>10$

$x1+7x2=>12$

$31+32=16$

$x1,x20$

How many surplus, slack, and artificial variables are required?

Select one:

a$.1$ surplus, $2$ slack, $3$ artificial variables

b$.1$ surplus, $3$ slack, $3$ artificial variables

c$.2$ surplus, $2$ slack, $2$ artificial variables

d$.1$ surplus, $2$ slack, $2$ artificial variables