1. Jayanta is raising money for the homeless, and discovers each church group re

Question

1. Jayanta is raising money for the homeless, and discovers each church group requires 2 hr of letter writing and 1 hr of follow-up calls, which each labor union needs 2hr of letter writing and 3 hr of follow-up. She can raise $150 from each church group and $175 from each union. She has a maximum of 12 hours of letter writing and 16 hours of follow-up available each month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.
a. Set up the linear programming here:

b. She should contact _________church group(s) and ________labor union(s), to obtain

Explanation / Answer

Suppose she contacts x church group and y union Maximize: profit = 150x +175 y Constraints: 2x + 2y

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