each type of media and that the amount of money be at least one and a half times the amount spent on radio advertising. A marketing consultant developed an index th llar of advertising on a scale from 0 to 100, with higher values implying greater audience exposure. If the value of the and the value of the index for spot radio advertising is 80, how should the restaurant allocate its advertising budget to re? linear programming model that can be used to determine how the restaurant should allocate its advertising budget in ence exposure. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". ount spent on newspaper advertising ount spent on radio advertising 50 N + 1 1 0.5 N ocated + N + + 1333.3 80 R ure Index 120000 1 R 0 Radio min Allocation min. ratio. R preadsheet model and solve the problem using Excel Solver. If required, round your answer to two decimal places. Newspaper Radio R 2 2 1 R 2 2000 666.67 500 Budget 500 Newspaper min

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $2,000 between newspaper advertising and radio
advertising. Management decided that at least 25% of the budget must be spent on each type of media and that the amount of money spent on local newspaper
advertising must be at least one and a half times the amount spent on radio advertising. A marketing consultant developed an index that measures audience
exposure per dollar of advertising on a scale from 0 to 100, with higher values implying greater audience exposure. If the value of the index for local newspaper
advertising is 50 and the value of the index for spot radio advertising is 80, how should the restaurant allocate its advertising budget to maximize the value of total
audience exposure?
(a) Formulate a linear programming model that can be used to determine how the restaurant should allocate its advertising budget in order to maximize the value
of total audience exposure. If the constant is "1" it must be entered in the box. If your answer is zero enter "0".
Let N
R
Max
amount spent on newspaper advertising
amount spent on radio advertising
50
1
1
0
0.5
N
N
N
+
+
+
+
+
Dollars Allocated 1333.3
80 R
Total Exposure Index 120000
1
0
1 R
0
R
.
2
IV
2
2
2000
666.67
500
500
R
Budget
Newspaper min
(b) Develop a spreadsheet model and solve the problem using Excel Solver. If required, round your answer to two decimal places.
Newspaper
Radio
Radio min.
Allocation min. ratio.
Transcribed Image Text:The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $2,000 between newspaper advertising and radio advertising. Management decided that at least 25% of the budget must be spent on each type of media and that the amount of money spent on local newspaper advertising must be at least one and a half times the amount spent on radio advertising. A marketing consultant developed an index that measures audience exposure per dollar of advertising on a scale from 0 to 100, with higher values implying greater audience exposure. If the value of the index for local newspaper advertising is 50 and the value of the index for spot radio advertising is 80, how should the restaurant allocate its advertising budget to maximize the value of total audience exposure? (a) Formulate a linear programming model that can be used to determine how the restaurant should allocate its advertising budget in order to maximize the value of total audience exposure. If the constant is "1" it must be entered in the box. If your answer is zero enter "0". Let N R Max amount spent on newspaper advertising amount spent on radio advertising 50 1 1 0 0.5 N N N + + + + + Dollars Allocated 1333.3 80 R Total Exposure Index 120000 1 0 1 R 0 R . 2 IV 2 2 2000 666.67 500 500 R Budget Newspaper min (b) Develop a spreadsheet model and solve the problem using Excel Solver. If required, round your answer to two decimal places. Newspaper Radio Radio min. Allocation min. ratio.
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