A consumer of two goods faces positive prices for both goods and has positive income. Her preferences over consumption of good 1 and good 2 are represented by the following utility function:
u(x1; x2) = 1 - (x1 4)^2 - (x2 3)^2
Let p1 = p2 = 1 and denote the income m. Derive the Marshallian demand functions for x1 and x2 as a function of m.