Donna de paul is working to raise money for the homeless by sending information letters and making follow-up calls to local labor organizations and church groups. 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 time and a maximum of 12 hours of follow-up time available per month. determine the most profitable mixture of groups she should contact and the most money she can raise in a month.

Question

Cecelia

Business

13 December, 01:24

Donna de paul is working to raise money for the homeless by sending information letters and making follow-up calls to local labor organizations and church groups. 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 time and a maximum of 12 hours of follow-up time available per month. determine the most profitable mixture of groups she should contact and the most money she can raise in a month.

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Jewels · Answer 1

Using simple ratio and proportion, we can say that she can only contact at most 8 groups per month with 16 hr maximum for writing, that is 16 hrs/2hrs per group. The mixture for the 8 groups can get the highest amount within 12 hr follow-up time:

labor union group x2 = 6hr = $400

local church group x6=6hr = $600

This would get her $1,000/month for calling 2 labor union group and 6 church group.