Suppose you consume two goods, whose prices are given by p1 and p2, and your income is m. Solve for your demand functions for the two goods, if the utility function is given as U(x1, x2) = ax1 + bx2, where a and b are positive constants.
a) x1 = (am/p1) and x2 = (bm/p2)
b) x1 = (m/ap1) and x2 = (m/bp2)
c) x1 = (ap1/m) and x2 = (bp2/m)
d) x1 = (m/p1) and x2 = (m/p2)