A social agency is charged with providing services to three types of clients: A, B, and C.
A total of 500 clients can be served. There is a total budget of $300,000 available for
counseling and $200,000 available for food and shelter. Type A clients require an average
of $400 for counseling and $600 for food and shelter. Type B clients require $1000 for
counseling and $400 for food and shelter. Type C clients require $600 for counseling and
$200 for food and shelter. How many of each type of client can be served?
a) Write the system of equations for this information.
b) Write the augmented matrix for this information.
c) Solve using the Gauss-Jordan Elimination method. Label each answer.