An ad campaign for a new snack chip will be conducted in a limited geographical area and can use TV time, radio time, and newspaper ads. Information about each medium is shown below. Cost per Ad # Reached Exposure Quality Max s.t. Medium TV Radio Newspaper Budget Constraint (in dollars) X₁, X₂, X3 ²0 Exposure Quality Constraint TV/Radio Ads Constraint $500 $400 If the number of TV ads cannot exceed the number of radio ads by more than 6, and if the advertising budget is $10,800, develop the model that will maximize the number reached and achieve an exposure quality of at least 900. (Let X₁ = number of TV ads. Let X₂ = number of radio ads. Let X3 = number of newspaper ads.) $200 9,800 3,300 5,100 30 40 25

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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An ad campaign for a new snack chip will be conducted in a limited geographical area and can use TV time, radio time, and newspaper ads. Information about each medium is shown below.
Max
s.t.
Medium
TV
Radio
Newspaper
X1, X2, X3 20
Budget Constraint (in dollars)
Exposure Quality Constraint
Cost per Ad # Reached Exposure Quality
TV/Radio Ads Constraint
$500
$200
$400
9,800
If the number of TV ads cannot exceed the number of radio ads by more than 6, and if the advertising budget is $10,800, develop the model that will maximize the number reached and achieve an exposure
quality of at least 900. (Let X₁ = number of TV ads. Let X₂ = number of radio ads. Let X3 = number of newspaper ads.)
3,300
5,100
30
40
25
Transcribed Image Text:An ad campaign for a new snack chip will be conducted in a limited geographical area and can use TV time, radio time, and newspaper ads. Information about each medium is shown below. Max s.t. Medium TV Radio Newspaper X1, X2, X3 20 Budget Constraint (in dollars) Exposure Quality Constraint Cost per Ad # Reached Exposure Quality TV/Radio Ads Constraint $500 $200 $400 9,800 If the number of TV ads cannot exceed the number of radio ads by more than 6, and if the advertising budget is $10,800, develop the model that will maximize the number reached and achieve an exposure quality of at least 900. (Let X₁ = number of TV ads. Let X₂ = number of radio ads. Let X3 = number of newspaper ads.) 3,300 5,100 30 40 25
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