group require and $250 from each union local, and she has a maximum of 16 hours of letter writing and a maximum of 14 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 mon Let x₁ be the number of church groups, and let x2 be the number o labor unions. What is the objective function? 2=x₁+x₂ (Do not include the $ symbol in your answers.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 8T
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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 $150 from each church group
and $250 from each union local, and she has a maximum of 16 hours of letter writing and a maximum of 14 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
(Do not include the $ symbol in your answers.)
C
Transcribed Image Text: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 $150 from each church group and $250 from each union local, and she has a maximum of 16 hours of letter writing and a maximum of 14 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 (Do not include the $ symbol in your answers.) C
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