(a) {lpoints} Consider a consumer's choice function :r[p. m} where the symbols have the usual meaning. Suppose that mm to) satisfy hndget-halancedness and weak axiom of revealed preference (WARP). Dene compensated price change and show that :r:[p.m) satisfy the compensated law of demand. (h) {10 points} Consider the following data set of three demand observations in a 31-corn1111odit}r model. The data is presented in the following table. w (5.19.9) (1.1.2) 42 (12.12.12) (1.1.1) as {27:11.1} (1.2.1) 50 { So. for example. when the price 1vector is p = (pl. 1112. pg) = {1, 1. 2) the commod- it}r bundle chosen is :r = [3:1, $3.12)} = (5.19.9) and the income is m = 42.) Cheek whether 01' net. the data satises generalized mom of revealed preference (CARP)