loans. In addition, the planning committee has specified that the amount allocated to personal loans cannot exceed $60\%$ of the amount allocated to automobile loans.

Let $H=$ amount allocated to home loans

$P=$ amount allocated to personal loans

A $=$ amount allocated to automobile loans

$($b$)$ How much should be allocated to each type of loan?

What is the total annual return?

If required, round your answer to nearest whole dollar amount.

$3$

What is the annual percentage return?

If required, round your answer to two decimal places.

$3\%$

$($c$)$ If the interest rate on home loans increases to $9\%,$ would the amount allocated to each type of loan change?

D

Explain.

An increase to $9\%$

$($d$)$ Suppose the total amount of new funds available is increased by $$10,000.$ What effect would this have on the total annual return? Explain.

If required, round your answer to nearest whole dollar amount.

An increase of $$10,000$ to the total amount of funds available would increase the total annual return by $

If required, round your answer to nearest whole dollar amount.

$3$

How much would the annual percentage return change?

If required, round your answer to two decimal places.

$Q_{\%}$