Henry is raising money for the homeless animals, and discovers each shelter requires 2 hours of volunteer service and 1 hr of contacting possible owners, which each homeless shelter needs 4 hours of volunteer service and 3 hr of follow-up. He can raise $100 for each animal shelter and $150 for each homeless shelter. Henry has a maximum of 10 hours of volunteer time and 13 hours of contacting time each month. Determine the most profitable mixture of groups he should contact and the most money he can raise in a month.

Set this up in a linear programming. How many animal shelters and homeless shelters should he contact and what should he collect in donations.