Assume your family income is $150,000, you have $75,000 saved-up for a down-payment on a house, and that you have no other liabilities or obligations. You are looking to buy a house that costs $X, and you obviously have to borrow (X-75000) to finance the purchase of the house. What is the most expensive house you can purchase (i.e. the largest value of X) that satisfies all of the following conditions. A. The annual property tax on a house worth $X, is exactly 1.0%. B. Your monthly mortgage payment plus monthly property tax payment is not allowed to exceed 30% of your disposable income. C. The mortgage interest rate for a 20-year period amortization period is 3% (APR) with monthly compounding, and the interest rate for a 25-year period amortization period is 4% (APR) with monthly compounding, or a 30-year period amortization with a 5% (APR). You can select any one of the three (but not a blend.) D. If your debt-to-equity ratio is greater than 5-to-1, then you must purchase CMHC insurance by paying an additional 1.5% of the value of the loan, which is then amortized over the period over the loan and blended into your monthly payment. Please solve for $X and decide which of the three amortization periods noted above will allow you to purchase the most expensive house