文档介绍：Logistics Systems Analysis
Assignment 1
Question 1
Formulate the Linear programming model that can be used to determine the advertising budget allocation for Flamingo Grill.
Answer :
Assume that :
the number of television ads below 10 is X1
the number of radio ads below 15 is X2
the number of newspaper ads below 20 is X3
the number of television ads beyond 10 is X4
the number of radio ads beyond 15 is X5
the number of newspaper ads beyond 20is X6
Objection function :
Max 90X1+25X2+10X3+55X4+20X5+5X6
X2+X5>=2(X1+X4)
X1+X4<=20
10000(X1+X4)>=140000
3000(X2+X5)<=99000
1000(X3+X6)>=30000
10000(X1+X4)+3000(X2+X5)+1000(X3+X6)<=279000
4000X1+2000X2+1000X3+1500X4+1200X5+800X6>=100000
X1,X2······X6>=0
X1<=10, X2<=15, X3<=20
If X1<=10, X4=0
If X2<=15, X5=0
If X3<=20, X6=0
Question 2
Solve the linear model and provide a schedule showing the mended number of televisions,radio, and newspaper advertisements and the budget allocation for each medium. Show the total exposure and indicate the total number of potential new customers reached.
The mended number of televisions,radio, and newspaper advertisements are 15, 33, 30.
The budget allocation for each medium is 150000(television), 99000(radio),30000(newspaper).
The total exposure is 2160.
The total number of potential new customers reached is 127100.
Question 3
How would the total exposure change if an a