A health insurance company advertises on television,on radio,and in the local newspaper.The marketing department has an advertising budget of $45,000 per month.A television ad costs $1,000,a radio ad costs $200 ,and a newspaper ad costs $500 .The department wants to run 70 ads per month,and have as many television ads as radio and newspaper ads combined.How many of each type of ad can the department run each month?

Question

A health insurance company advertises on television,on radio,and in the local newspaper.The marketing department has an advertising budget of $45,000 per month.A television ad costs $1,000,a radio ad costs $200 ,and a newspaper ad costs $500 .The department wants to run 70 ads per month,and have as many television ads as radio and newspaper ads combined.How many of each type of ad can the department run each month? ​

Quizplus · Accepted Answer

The department wants to run as many television ads as radio and newspaper ads combined, which means the number of television ads equals the sum of radio and newspaper ads. Given they want to run 70 ads in total, if television ads are 35, then the remaining 35 ads must be split between radio and newspaper. With the budget constraint, the only combination that fits the total budget of $45,000 while meeting the criteria of 70 ads and having the television ads equal to the sum of radio and newspaper ads is 35 television ads, 25 radio ads, and 10 newspaper ads.

A Health Insurance Company Advertises on Television,on Radio,and in the Local