Donna De Paul is raising money for the homeless. She discovers that each church group requires 2 hours of letter writing and 1 hour of​ follow-up, while for each labor union she needs 2 hours of letter writing and 3 hours of​ follow-up. Donna can raise ​$125 from each church group and ​$200 from each union​ local, and she has a maximum of hours 20 of letter writing and a maximum of 12 hours of​ follow-up available per month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month. Let x1 be the number of church​ groups, and let x2 be the number of labor unions. What is the objective​ function? z= ___x1 + ____x2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Donna De Paul is raising money for the homeless. She discovers that each church group requires 2 hours of letter writing and 1 hour of​ follow-up, while for each labor union she needs 2 hours of letter writing and 3 hours of​ follow-up. Donna can raise ​$125 from each church group and ​$200 from each union​ local, and she has a maximum of hours 20 of letter writing and a maximum of 12 hours of​ follow-up available per month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.

Let x1 be the number of church​ groups, and let x2 be the number of labor unions. What is the objective​ function?

z= ___x+ ____x2

Do not include the $ in your answer 

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