$\"\"$

Consider $\"\"$ is the amount invested in treasury bills.

$\"\"$ is the amount invested in corporate bonds.

$\"\"$ is the amount invested in junk bonds.

(a)

The total investment equation is $\"\"$ .

Annual income equation is $\"\"$ .

Definition of augment matrix :

If $\"\"$ are the system of equations then the augmented matrix is $\"\"$ .

Augment matrix of the system of equations is $\"\"$ .

Apply $\"\"$ .

$\"\"$

Apply $\"\"$ .

$\"\"$

Apply $\"\"$ .

$\"\"$

Apply $\"\"$ .

$\"\"$

The matrix in the last step represents the system $\"\"$ .

The solution of the system is $\"\"$ and $\"\"$ .

Tabulate for different investment strategies.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Amount invested at
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$

$\"\"$

(b)

The total investment equation is $\"\"$ .

Annual income equation is $\"\"$ .

Definition of augment matrix :

If $\"\"$ are the system of equations then the augmented matrix is $\"\"$ .

Augment matrix of the system of equations is $\"\"$ .

Apply $\"\"$ .

$\"\"$

Apply $\"\"$ .

$\"\"$

Apply $\"\"$ .

$\"\"$

Apply $\"\"$ .

$\"\"$

The matrix in the last step represents the system $\"\"$ .

The solution of the system is $\"\"$ and $\"\"$ .

Tabulate for different investment strategies.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Amount invested at
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$

$\"\"$

(c)

The total investment equation is $\"\"$ .

Annual income equation is $\"\"$ .

Definition of augment matrix :

If $\"\"$ are the system of equations then the augmented matrix is $\"\"$ .

Augment matrix of the system of equations is $\"\"$ .

Apply $\"\"$ .

$\"\"$

Apply $\"\"$ .

$\"\"$

Apply $\"\"$ .

$\"\"$

Apply $\"\"$ .

$\"\"$

The matrix in the last step represents the system $\"\"$ .

The solution of the system is $\"\"$ and $\"\"$ .

Tabulate for different investment strategies.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Amount invested at
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$

$\"\"$

(a)

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Amount invested at
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$

(b)

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Amount invested at
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$

(c)

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Amount invested at
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$