An enterprise is planning a new radio and TV advertising campaign. A radio commercial costs $300 and a TV commercial costs $2,000. A total maximum budget of up to $20,000 is allocated to the campaign; however the number of ads in each campaign cannot exceed 80% of the total number of ads. It's estimated that a radio commercial will reach 1,500 people and a TV commercial will reach 15,000. We wish to use linear programming to determine how we should allocate our budget to each of the two advertisement types. What is the optimal total number of ads (of both types combined) that this enterprise would purchase according to the linear programming model? Round your answer to the nearest whole number. For example, 2.75 should be entered as 3.
An enterprise is planning a new radio and TV advertising campaign. A radio commercial costs $300 and a TV commercial costs $2,000. A total maximum budget of up to $20,000 is allocated to the campaign; however the number of ads in each campaign cannot exceed 80% of the total number of ads. It's estimated that a radio commercial will reach 1,500 people and a TV commercial will reach 15,000. We wish to use linear programming to determine how we should allocate our budget to each of the two advertisement types. What is the optimal total number of ads (of both types combined) that this enterprise would purchase according to the linear programming model? Round your answer to the nearest whole number. For example, 2.75 should be entered as 3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:An enterprise is planning a new radio and TV advertising campaign. A radio commercial costs $300 and a TV
commercial costs $2,000. A total maximum budget of up to $20,000 is allocated to the campaign; however
the number of ads in each campaign cannot exceed 80% of the total number of ads. It's estimated that a radio
commercial will reach 1,500 people and a TV commercial will reach 15,000. We wish to use linear
programming to determine how we should allocate our budget to each of the two advertisement types.
What is the optimal total number of ads (of both types combined) that this enterprise would purchase
according to the linear programming model? Round your answer to the nearest whole number. For example,
2.75 should be entered as 3.
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