A
committee
in
charge
of
promoting
a
Ladies
Professional
Golf
Association
tournament
is
trying
to
determine
how
best
to
advertise
the
event
during
the
two
weeks
prior
to
the
tournament.
The
committee
obtained
the
following
information
about
the
three
advertis-
ing
media
they
are
considering
using:
Audience
Reached
Cost
per
Maximum
Number
of
Category
per
Advertisement
Advertisement
Advertisements
TV
200,000
$2500
10
Radio
50,000
$
400
15
Internet
100,000
$
500
20
The
last
column
in
this
table
shows
the
maximum
number
of
advertisements
that
can
be
run
during
the
next
two
weeks;
these
values
should
be
treated
as
constraints.
The
commit-
tee
established
the
following
goals
for
the
campaign:
Priority.Level
1
Goal
Goal
1:
Reach
at
least
4
million people.
Priority
Level
2
Goal
Goal
2:
The
number
of
television
advertisements
should
be
at
least
30%
of
the
total
number
of
advertisements.
-
Priority
Level
3
Goal
Goal
3:
The
number
of
radio
advertisements
should
not
exceed
20%
of
the
total
number
of
advertisements.
Priority
Level
4
Goal
Goal
4:
Limit
the
total
amount
spent
for
advertising
to
$20,000.
a.
Formulate
a
goal
programming
model
for
this
problem.
b.
Use
the
goal
programming
computer
procedure
illustrated
in
Section
14.2
to
solve
the
model
formulated
in
part (a).
