Question
3
1/1pts
Monica
is
working
on
a
LP
with
an
objective
function
X
+
5Y.
She
graphs
the
LP
and
finds
the
optimal
solution
is
at
the
intersection
of
two
constraints
(say,
Constraints
1
and
2).
Which
of
the
following
is
definitely
NOT
true?
Note:
in
the
provided
answer
options,
RHS
means
"Right
Hand
Side".
Changing
the
objective
function
coefficients
can
change
the
optimal
solution.
Changing
the
right
hand
side
(RHS)
of
Constraint
1
can
change
the
optimal
solution.
Changing
the
RHS
of
Constraint
2
can
change
the
optimal
solution.
None
of
the
answers
can
be
"definitely
NOT
true."
They
can
all
be
true.
The
correct
answer
is
"None
of
the
answers
can
be
"definitely
NOT
true."
They
can
all
be
true."
Changing
Constraint
1
or
2
would
change
the
feasible
region
and
intersection
points,
so
the
optimal
solution
would
change.
Changing
the
objective
function
coefficients
could
change
the
optimal
solution.
The
slope
of
the
objective
function
changes
in
this
case
and
if
the
slope
changes
sufficiently,
it
could
change
the
optimal
point.