Liz is working to raise money for breast cancer research. She discovered that each church group requires 2 hours of letter writing and 1 hour of​ follow-up, while each neighborhood group needs 2 hours of letter writing and 3 hours of​ follow-up. Liz can raise ​$100 from each church group and ​$175 from each neighborhood​ group, and she has a maximum of 16 hours of​ letter-writing time and a maximum of 14 hours of​ follow-up time available per month. Use the simplex method to complete parts​ (a) and​ (b).