Example 7. A media specialist plans to allocate advertising expenditure in three media where unit costs of a message are Rs. 1,500, Rs. 1,250 and Rs. 1,000 respectively. The total advertising budget available for the year is Rs. 50,000. The first medium is a monthly magazine and it is desired to advertise not more than once in one issue. At least five advertisements should appear in the second medium and the number of advertisements in the third medium should strictly lie between 6 and 10. The effective audience for unit advertisement in the three media is given below: Medium 1 2 3 Expected effective audience : 50,000 40,000 25,000 Formulate a linear programming problem to find the optimum allocation of advertisements in three media that would maximize the total effective audience
Example 7. A media specialist plans to allocate advertising expenditure in three media where unit costs of a message are Rs. 1,500, Rs. 1,250 and Rs. 1,000 respectively. The total advertising budget available for the year is Rs. 50,000. The first medium is a monthly magazine and it is desired to advertise not more than once in one issue. At least five advertisements should appear in the second medium and the number of advertisements in the third medium should strictly lie between 6 and 10. The effective audience for unit advertisement in the three media is given below: Medium 1 2 3 Expected effective audience : 50,000 40,000 25,000 Formulate a linear programming problem to find the optimum allocation of advertisements in three media that would maximize the total effective audience
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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Transcribed Image Text:Example 7. A media specialist plans to allocate advertising expenditure in three
media where unit costs of a message are Rs. 1,500, Rs. 1,250 and Rs. 1,000
respectively. The total advertising budget available for the year is Rs. 50,000. The
first medium is a monthly magazine and it is desired to advertise not more than once
in one issue. At least five advertisements should appear in the second medium and the
number of advertisements in the third medium should strictly lie between 6 and 10.
The effective audience for unit advertisement in the three media is given below:
Medium
1
2
3
Expected effective audience :
50,000
40,000
25,000
Formulate a linear programming problem to find the optimum allocation of
advertisements in three media that would maximize the total effective audience
a. 1..
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