The demand for rice in Japan for a particular year was estimated by the general function q = f (p) =Ap^(-0.13), where p represents the price of a unit of rice, A represents a constant that can be calculated uniquely for a particular year, and q represents the annual per capita rice demand. Calculate and interpret the elasticity of demand

1 answer

elasticity e = df/f รท dp/p = df/dp * p/f

df/dp = A(-0.13)p^(-1.13)

so, e = -0.13Ap^(-1.13) * p/A p^(-0.13)
= -0.13/p^0.26

so, we have negative elasticity, meaning that demand will go down if price goes up.

It also shows that for larger prices, the elasticity changes, becoming less significant.