System of inequalities  TOPIC_SOLVED

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System of inequalities

Postby syraboy on Fri Oct 28, 2011 11:35 pm

A dog food manufacturer wants to advertise its products. A magazine charges 60$ per ad and requires a min of three ads. A radio station chages 150$ per commercial minute and requires at least 4 min. Each magazine reaches 12,000 people while each commercial minute reaches 16,000 people. At most, 900$ dollors can be spent on advertising.

1. Let "a" represents magazine ads and "m" represent the number of comercial minutes. Write a system of inequalities that represent the advertising plan for the company.

2. How many ads and commercial minutes shlould be purchased to reach the most people? How many people would this be?

Having a problem for some reason with the first part of this for system of equalities and it is messin with my mind!!!

Help please.
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  TOPIC_SOLVED

Postby stapel_eliz on Tue Nov 01, 2011 12:43 pm

syraboy wrote:A dog food manufacturer wants to advertise its products. A magazine charges 60$ per ad and requires a min of three ads. A radio station chages 150$ per commercial minute and requires at least 4 min. Each magazine reaches 12,000 people while each commercial minute reaches 16,000 people. At most, 900$ dollors can be spent on advertising.

1. Let "a" represents magazine ads and "m" represent the number of comercial minutes. Write a system of inequalities that represent the advertising plan for the company.

Having a problem for some reason with the first part of this for system of equalities and it is messin with my mind!

What inequality symbol is implied by "at least"? Given that "a" stands for "ads", what inequality is implied by "at least three ads"? Given that "m" stands for "minutes", what inequalilty is implied by "at least four minutes"? What expression would represent the total cost of "a" ads and "m" minutes? Given that expression, what inequality is implied by "at most $900"?

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