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 $140,000 available for counseling and $100,000 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 40 type A clients, 300 type B clients, and 110 type C clients.
B) Substitution gives 50 type A clients, 190 type B clients, and 210 type C clients.
C) Substitution gives 210 type A clients, 130 type B clients, and 110 type C clients.
D) Substitution gives 190 type A clients, 50 type B clients, and 210 type C clients.
E) Substitution gives 300 type A clients, 110 type B clients, and 40 type C clients.

Question

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 $140,000 available for counseling and $100,000 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 40 type A clients, 300 type B clients, and 110 type C clients.
B) Substitution gives 50 type A clients, 190 type B clients, and 210 type C clients.
C) Substitution gives 210 type A clients, 130 type B clients, and 110 type C clients.
D) Substitution gives 190 type A clients, 50 type B clients, and 210 type C clients.
E) Substitution gives 300 type A clients, 110 type B clients, and 40 type C clients.

Quizplus · Accepted Answer

The Answer of 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 $140,000 available for counseling and $100,000 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 40 type A clients, 300 type B clients, and 110 type C clients.
B) Substitution gives 50 type A clients, 190 type B clients, and 210 type C clients.
C) Substitution gives 210 type A clients, 130 type B clients, and 110 type C clients.
D) Substitution gives 190 type A clients, 50 type B clients, and 210 type C clients.
E) Substitution gives 300 type A clients, 110 type B clients, and 40 type C clients.

A Social Agency Is Charged with Providing Services to Three