Consider a consumer who consumes two goods and has utility function: u(x₁,x₂)= x₂ + sqrt(x₁).

The price of good 2 is $1, the price of good 1 is p, and income is m. Derive the ordinary demand functions of good 1 and good 2. For what values of p and m is:

a. good 1 normal?

b. good 2 normal?

c. good 1 an ordinary good?

d. good 2 a gross substitute for good 1?