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Linear Programming
Quiz 2
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Q.1
If the value of the objective function 𝒛 can be increased or decreased indefinitely, such solution is called
Bounded solution
Unbounded solution
Solution
None of the above
Q.2
Mathematical model of Linear Programming is important because
It helps in converting the verbal description and numerical data into mathematical expression
decision makers prefer to work with formal models.
it captures the relevant relationship among decision factors.
it enables the use of algebraic techniques.
Q.3
Constraints in LP problem are called active if they
represent optimal solution
at optimality do not consume all the available resources
both a & b
none of the above
Q.4
A constraint in an LP model becomes redundant because
two iso-profit line may be parallel to each other
the solution is unbounded
this constraint is not satisfied by the solution values
none of the above
Q.5
If an iso-profit line yielding the optimal solution coincides with a constaint line, then
the solution is unbounded
the solution is infeasible
the constraint which coincides is redundant
none of the above
Q.6
An iso-profit line represents
an infinite number of solutions all of which yield the same profit
an infinite number of solution all of which yield the same cost
an infinite number of optimal solutions
a boundary of the feasible region
Q.7
A feasible solution to an LP problem
must satisfy all of the problem’s constraints simultaneously
need not satisfy all of the constraints, only some of them
must be a corner point of the feasible region
must optimize the value of the objective function
Q.8
The graphical method of LP problem uses
objective function equation
constraint equations
linear equations
all of the above
Q.9
Which of the following is an assumption of an LP model
divisibility
proportionality
additivity
all of the above
Q.10
If the constraints in a linear programming problem are changed
the problem is to be re-evaluated
solution is not defined
the objective function has to be modified
the change in constraints is ignore
Q.11
In. L.P.P----
objective function is linear
constraints are linear
both objective function and constraints are linear
none of the above
Q.12
Which of the following is not a characteristic of the LP
resources must be limited
only one objective function
parameters value remains constant during the planning period
the problem must be of minimization type
Q.13
The best use of linear programming technique is to find an optimal use of
money
manpower
machine
all of the above
Q.14
The distinguishing feature of an LP model is
relationship among all variables is linear
it has single objective function & constraints
value of decision variables is non-negative
all of the above
Q.15
Linear programming is a
constrained optimization technique
technique for economic allocation of limited resources
mathematical technique
all of the above
Q.16
A solution which optimizes the objective function is called as ------
solution
basic solution
feasible solution
optimal solution
Q.17
A solution which satisfies non-negative conditions also is called as-----
solution
basic solution
feasible solution
none of the above
Q.18
The graph of x≤2 and y≥2 will be situated in the
first and second quadrant
second and third quadrant
first and third quadrant
third and fourth quadrant
Q.19
A basic solution is called non-degenerate, if
all the basic variables are zero
none of the basic variables is zero
at least one of the basic variables is zero
none of these
Q.20
The intermediate solutions of constraints must be checked by substituting them back into
objective function
constraint equations
not required
none of the above
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