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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 $100 from each church group and $200 from each union local, and she has a maximum of 16 hours 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= + (Do not include the $ symbol in your answers.)

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 $200 from each union local, and she has a maximum of 16 hours 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= + (Do not include the $ symbol in your answers.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 $100 from each church group and $200 from each union local, and she has a maximum of 16 hours 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= + (Do not include the $ symbol in your answers.)
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 $200 from each union local, and she has a maximum of 16 hours 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= + (Do not include the $ symbol in your answers.)
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