Question: Set up the system of equations. Do not solve. An investment firm recommends that a client invest in bonds rated AAA, A, and B.

Set up the system of equations. Do not solve. An investment firm

Set up the system of equations. Do not solve. An investment firm recommends that a client invest in bonds rated AAA, A, and B. Let x be the number of AAA bonds, y the number of A bonds, and z the number of bonds. The average yield on AAA bonds is 4%, on A bonds 6%, and on B bonds 12%. The client wants to invest twice as much in A bonds as in B bonds. How much should be invested in each type of bond, if the total investment is $35,000, and the investor wants an annual return of $1940 on the three investments? Ox+y+z=35,000 4x+6y +12z=194,000 2y-z=0 Ox+y+z=35,000 4x+6y +12z 19,400 x-2z=0 Ox+y+z=35,000 4x+6y +12z 194,000 y-2z=0 Ox+y+z=35,000 4x+6y +12z=194,000 x-2y=0

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