8. Mr. Brown owns two houses between January 2000 and January 2010. Relation Houses records their prices in dollars at certain points in time. The number of months is counted from January 2000, which is taken as month 0. House Id 1 1 1 1 2 2 Price Time 80,000 0 110,000 30 140.000 60 260.000 120 280.000 40 240,000 80 Translate the House relation into a constraint relation by using a piecewise linear interpolation of the share prices and then express in SQL the following queries: (a) Find the price of house 1 at 50 months. (b) Mr. Brown always lives in the cheaper and rents the more ex- pensive house. Find the time when Mr. Brown moves from one house to another. (c) Find the maximum of the sum of the prices of the two houses at any point of time. 8. Mr. Brown owns two houses between January 2000 and January 2010. Relation Houses records their prices in dollars at certain points in time. The number of months is counted from January 2000, which is taken as month 0. House Id 1 1 1 1 2 2 Price Time 80,000 0 110,000 30 140.000 60 260.000 120 280.000 40 240,000 80 Translate the House relation into a constraint relation by using a piecewise linear interpolation of the share prices and then express in SQL the following queries: (a) Find the price of house 1 at 50 months. (b) Mr. Brown always lives in the cheaper and rents the more ex- pensive house. Find the time when Mr. Brown moves from one house to another. (c) Find the maximum of the sum of the prices of the two houses at any point of time