An LP can have multiple disjointed feasible regions as long as it has at least two constraints. Every LP has an optimal solution. Any point located in the interior of the feasible region (not on the boundary) can be written as a convex combination of two extreme points. Isocost and isoprofit lines are graphed while solving maximization and minimization problems, respectively. Simplex algorithm finds and evaluates the objective function value of all extreme points. A standard form LP with n variables and m constraints yields a n by m technology matrix (denoted by A). For a standard form LP with n variables and m constraints, the direction of unboundedness is a vector with n-m elements. Row 0 coefficients, while applying the simplex algorithm to a maximization problem, are known as reduced price.
Please answer True or False:
An LP can have multiple disjointed feasible regions as long as it has at least two constraints.
Every LP has an optimal solution.
Any point located in the interior of the feasible region (not on the boundary) can be written as a convex combination of two extreme points.
Isocost and isoprofit lines are graphed while solving maximization and
minimization problems, respectively.
Simplex algorithm finds and evaluates the objective function value of all extreme points.
A standard form LP with n variables and m constraints yields a n by m technology matrix (denoted by A).
For a standard form LP with n variables and m constraints, the direction of
unboundedness is a vector with n-m elements.
Row 0 coefficients, while applying the simplex algorithm to a maximization
problem, are known as reduced price.
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