Question $3$: $(6$ marks$)($C$3,$ D$3)$

Table $2$

$\backslash$table$[[,,\backslash$table$[[$Quantities$],[$Purchased$]],\backslash$table$[[$Quantities$],[$Purchased$]]],[$Income$,$Prices,Good X$,$Good Y$],[$$$30,000,Px=$$$6,Py=$$$3,2,20],[50,000,Px=$$$6,Py=$$$4,5,10]]$

Refer to Table $2,$ answer the following questions:

Using the information in the table, calculate the income elasticity of demand for good X and characterize the good. $(3$ marks$)$

Can you calculate the income elasticity of demand for good Y$?$ If you can, show your calculation and characterize the good. If you cannot, explain why. $(3$ marks$)$