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 $100 from each church group and $250 from each union local, and she has a maximum of 20 hours of letter writing and a maximum of 16 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 = 100 x₁ + 250 x2 (Do not include the $ symbol in your answers.) She should contact church group(s) and (Simplify your answers.) labor union(s), to obtain a maximum of $ in donations.
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 $100 from each church group and $250 from each union local, and she has a maximum of 20 hours of letter writing and a maximum of 16 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 = 100 x₁ + 250 x2 (Do not include the $ symbol in your answers.) She should contact church group(s) and (Simplify your answers.) labor union(s), to obtain a maximum of $ in donations.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 $100 from each church group and $250 from each union local, and she has a maximum of 20 hours
of letter writing and a maximum of 16 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 = 100 x₁ + 250 x₂
(Do not include the $ symbol in your answers.)
She should contact church group(s) and
(Simplify your answers.)
labor union(s), to obtain a maximum of $ in donations.
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