Question

can someone please help me set up inequalities based on the info below?:

jayanta is working to raise money for the homeless by sending information letters and making follow-up calls to local labor organizations and church gorups. She discovered that each church group requires 2 hr of letter writing and 1 hr of followup, while for each labor union she needs 2 hr of letter writing and 3 hr of followup. Jayanta can raise $100 from each church group and $200 from each union local, and she has a maximum of 16 hr of letter writing time and a maximum of 12 hr of follow-up time avaliable per month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.

Answer 1

C = Church (2 hours Writing, 1 hour follow-up)
U = Labour Union (2 hours writing, 3 hours follow-up)

Constraints:
C ≥ 0
U ≥ 0
2C+2U ≤ 16
C+3U ≤ 12

Z = 100C+200U (objective function)