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 $200 from each union local, and she has a maximum of 12 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 x, be the number of church groups, and let x2₂ be the number of labor unions. What is the objective function?
z = 150 x₁ + 200 x₂
(Do not include the $ symbol in your answers.)
She should contact
(Simplify your answers.)
church group(s) and labor union(s), to obtain a maximum of $ in donations.
