math
posted by chrissy on .
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 followup 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 followup time avaliable per month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.

C = Church (2 hours Writing, 1 hour followup)
U = Labour Union (2 hours writing, 3 hours followup)
Constraints:
C ≥ 0
U ≥ 0
2C+2U ≤ 16
C+3U ≤ 12
Z = 100C+200U (objective function)