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An enterprise is planning a new radio, TV, and newspaper advertising campaign. A radio commercial costs $300, a TV commercial costs $800, and a newspaper ad costs $150. A total maximum budget of $30,000 is allocated to the campaign; however the number of ads in each campaign cannot exceed 70% of the total number of ads. It's estimated that a radio commercial will reach 1,750 people, a TV commercial will reach 5120, and a newspaper ad is expected to reach 870 people. We wish to use integer programming to determine how we should allocate the available budget into the three advertisement types. What is the optimal number of TV ads?

An enterprise is planning a new radio, TV, and newspaper advertising campaign. A radio commercial costs $300, a TV commercial costs $800, and a newspaper ad costs $150. A total maximum budget of $30,000 is allocated to the campaign; however the number of ads in each campaign cannot exceed 70% of the total number of ads. It's estimated that a radio commercial will reach 1,750 people, a TV commercial will reach 5120, and a newspaper ad is expected to reach 870 people. We wish to use integer programming to determine how we should allocate the available budget into the three advertisement types. What is the optimal number of TV ads?

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...
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An enterprise is planning a new radio, TV, and newspaper advertising campaign. A radio commercial costs $300, a TV commercial costs $800, and a newspaper ad costs $150. A total maximum budget of $30,000 is allocated to the campaign; however the number of ads in each campaign cannot exceed 70% of the total number of ads. It's estimated that a radio commercial will reach 1,750 people, a TV commercial will reach 5120, and a newspaper ad is expected to reach 870 people. We wish to use integer programming to determine how we should allocate the available budget into the three advertisement types. What is the optimal number of TV ads?
Transcribed Image Text:An enterprise is planning a new radio, TV, and newspaper advertising campaign. A radio commercial costs $300, a TV commercial costs $800, and a newspaper ad costs $150. A total maximum budget of $30,000 is allocated to the campaign; however the number of ads in each campaign cannot exceed 70% of the total number of ads. It's estimated that a radio commercial will reach 1,750 people, a TV commercial will reach 5120, and a newspaper ad is expected to reach 870 people. We wish to use integer programming to determine how we should allocate the available budget into the three advertisement types. What is the optimal number of TV ads?
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