Suppose you and your spouse have $$40,000$ in a money market account. Now you plan to purchase a house. Your bank requires that your monthly mortgage payment should not exceed onethird of your household income. If your monthly household income is $$5,400,$ and an $8\mathrm{.}4\%30$ year loan $($with a monthly payment$)$ is available, what is the maximum price of a house you can afford?