An advertising company wants to cover two types of audiences: Type A, consisting of customers with annual income greater than R 150,000 and Type B, consisting of customers with annual income less than 150,000. The total advertising budget of the company is 2,10,000. One programme of TV advertising costs 7 50,000 and one programme of radio advertising costs ? 20,000. As per the terms of the contract, at least three programmes must be on TV and the number of radio programmes must be limited to five. On the basis of some surveys, it is found that a single TV programme reaches 4,50,000 customers of Type A and 50,000 customers of Type B, while one radio programme reaches 80,000 customers of Type A and 2,20,000 customers of type B. Use simplex method and determine the optimal media mix to maximise the total reach. What is the total reach in each type of audience?

An advertising company wants to cover two types of audiences: Type A, consisting of customers with annual income greater than R 150,000 and Type B, consisting of customers with annual income less than 150,000. The total advertising budget of the company is 2,10,000. One programme of TV advertising costs 7 50,000 and one programme of radio advertising costs ? 20,000. As per the terms of the contract, at least three programmes must be on TV and the number of radio programmes must be limited to five. On the basis of some surveys, it is found that a single TV programme reaches 4,50,000 customers of Type A and 50,000 customers of Type B, while one radio programme reaches 80,000 customers of Type A and 2,20,000 customers of type B. Use simplex method and determine the optimal media mix to maximise the total reach. What is the total reach in each type of audience?

Name: 24. An advertising company wants to cover two types of audiences: Typ
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Description: 24. An advertising company wants to cover two types of audiences: Type A, consisting of customers withannual income greater than 150,000 and Type B, consisting of customers with annual income lessthan 150,000. The total advertising budget of the com

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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24. An advertising company wants to cover two types of audiences: Type A, consisting of customers with
annual income greater than 150,000 and Type B, consisting of customers with annual income less
than 150,000. The total advertising budget of the company is 2,10,000. One programme of TV
advertising costs 50,000 and one programme of radio advertising costs 7 20,000. As per the terms
of the contract, at least three programmes must be on TV and the number of radio programmes must
be limited to five. On the basis of some surveys, it is found that a single TV programme reaches
4,50,000 customers of Type A and 50,000 customers of Type B, while one radio programme reaches
80,000 customers of Type A and 2,20,000 customers of type B. Use simplex method and determine the
optimal media mix to maximise the total reach. What is the total reach in each type of audience?

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