The company does not want to spend more than $800,000 on advertising. It further requires that (1) at least 2 million exposures take place among women; (2) advertising on television be limited to $500,000; (3) at least 3 advertising units be bought on daytime television, and two units during prime time; and (4) the number of advertising units on radio and magazine should each be between 5 and 10. Formulate into a linear programming problem.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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linear programming with graphical method

Group 1. The Reggio Advertising Company wishes to plan an advertising campaign in three
different media--television, radio, and magazines. The purpose of the advertising program is to
reach as many potential customers as possible. Results of a market study are given below:
Television
Day
Prime
Time
Time
Radio
Magazines
Cost of an advertising $ 40,000 $ 75,000 $ 30,000o $ 15,000
unit
Number of potential
400,000 900,000
500,000 200,000
customers reached
per unit
Number of women
customers reached
per unit
300,000 400,000 | 200,000 100,000
The company does not want to spend more than $800,000 on advertising. It further
requires that (1) at least 2 million exposures take place among women; (2) advertising
on television be limited to $500,000; (3) at least 3 advertising units be bought on
daytime television, and two units during prime time; and (4) the number of advertising
units on radio and magazine should each be between 5 and 10. Formulate into a linear
programming problem.
Transcribed Image Text:Group 1. The Reggio Advertising Company wishes to plan an advertising campaign in three different media--television, radio, and magazines. The purpose of the advertising program is to reach as many potential customers as possible. Results of a market study are given below: Television Day Prime Time Time Radio Magazines Cost of an advertising $ 40,000 $ 75,000 $ 30,000o $ 15,000 unit Number of potential 400,000 900,000 500,000 200,000 customers reached per unit Number of women customers reached per unit 300,000 400,000 | 200,000 100,000 The company does not want to spend more than $800,000 on advertising. It further requires that (1) at least 2 million exposures take place among women; (2) advertising on television be limited to $500,000; (3) at least 3 advertising units be bought on daytime television, and two units during prime time; and (4) the number of advertising units on radio and magazine should each be between 5 and 10. Formulate into a linear programming problem.
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