In: Economics
Suppose that a consumer has the following demand function: x ∗ (px, py, m) = 3mpy/px . What type of good is good x? (Remember, m > 0, px > 0, py > 0)
(a) ordinary, complement, normal
(b) ordinary, complement, inferior
(c) inelastic, substitute, inferior
(d) ordinary, substitute, normal
x =3mPy/Px
m>0, Px>0 and Py>0
If Py increses, as its in the numerator , with no change in Px and m, x increses
increase in price of y increases demand for x, thus x is substitute
if m increases, with no change in Px and Py, x increases.
Thus increase in m increases x. x is a normal good.
Thus the correct option is (d)