A Social Agency Is Charged with Providing Services to Three

Multiple Choice

A social agency is charged with providing services to three types of clients, A, B, and C. A total of 450 clients are to be served, with $125,000 available for counseling and $85,000 available for emergency food and shelter. Type A clients require an average of $200 for counseling and $300 for emergencies, type B clients require an average of $500 for counseling and $200 for emergencies, and type C clients require an average of $300 for counseling and $100 for emergencies. How many of each type of client can be served? ​

A) Substitution gives 10 type A clients, 210 type B clients, and 230 type C clients.
B) Substitution gives 30 type A clients, 240 type B clients, and 180 type C clients.
C) Substitution gives 180 type A clients, 40 type B clients, and 230 type C clients.
D) Substitution gives 240 type A clients, 30 type B clients, and 180 type C clients.
E) Substitution gives 210 type A clients, 230 type B clients, and 10 type C clients.