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

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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The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 760 homeless patients and no more than 800 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 2,100 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $9,800 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $7,800 per month. How many of each type of patient should it house in order to maximize profit? (If an answer does not exist, enter DNE.) high-income patients homeless patients profit
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The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 700 homeless patients and no more than 620 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 1,800 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $13,000 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $9,000 per month. How many of each type of patient should it house in order to maximize profit? Group of answer choices A)700 homeless patients and 1,100 high-income patients B)1,200 homeless patients and 600 high-income patientsC)700 homeless patients…
The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 700 homeless patients and no more than 620 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 1,800 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $13,000 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $9,000 per month. How many of each type of patient should it house in order to maximize profit?
The Megabuck Hospital Corp. is to build a state-subsidized nursing home catering to homeless patients as well as high-income patients. State regulations require that every subsidized nursing home must house a minimum of 750 homeless patients and no more than 900 high-income patients in order to qualify for state subsidies. The overall capacity of the hospital is to be 1,800 patients. The board of directors, under pressure from a neighborhood group, insists that the number of homeless patients should not exceed twice the number of high-income patients. Due to the state subsidy, the hospital will make an average profit of $9,500 per month for every homeless patient it houses, whereas the profit per high-income patient is estimated at $8,000 per month. How many of each type of patient should it house in order to maximize profit? HINT [See Example 3.] (If an answer does not exist, enter DNE.) high-income patients: homeless: profit:
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