Part A
Let T:Represent TV Commercial
Let N= Newspaper ad
Let R: Represent Radio station Commercial
T
N
R
Solution
1
1
1
OF: Minimize Costs
15,000
4,000
6,000
25,000
Constraints:
2x Radio than newspaper
-2
1
-1 >=
0
at least 100,000 customers
25,000
10,000
15,000
50,000 >=
100,000
twice as money young as seniors
-5,000
-11,000
6,000
-10,000 >=
0
30% of audience is female
7,500
1,000
4,500
13,000 >=
0
Max Newspaper ads 7
1
1 <=
7
Part B
Let T:Represent TV Commercial
Let N= Newspaper ad
Let R: Represent Radio station Commercial
T
N
R
Solution
0
1
6
OF: Minimize Costs
15,000
4,000
6,000
40,000
Constraints:
2x Radio than newspaper
-2
1
4 >=
0
at least 100,000 customers
25,000
10,000
15,000
100,000 >=
100,000
twice as money young as seniors
-5,000
-11,000
6,000
25,000 >=
0
30% of audience is female
7,500
1,000
4,500
28,000 >=
0
Max Newspaper ads 7
1
1 <=
7
Part C
Let T:Represent TV Commercial
Let N= Newspaper ad
Let R: Represent Radio station Commercial
Let R2: Represent Radio Station 2 commercial
T
N
R
R2
Solution