Question $1$

The schedule below shows the relationship between the price of good $x$ and the quantity demanded for good X and Y :

$\backslash$table$[[$Price of Good X $($RM$),\backslash$table$[[$Quantity Demanded for$],[$Good X $($kg$)]],\backslash$table$[[$Quantity Demanded for$],[$Good Y $($kg$)]]],[5,160,100],[10,140,120],[15,120,140],[20,100,160]]$

$($a$)$ Calculate the price elasticity of demand for good X if the price of good X falls from RM$10$ to RM$5$ per kg$.$ State whether it is elastic or inelastic.

$($b$)$ Calculate the price elasticity of demand for good X if the price of good X rise from RM$5$ to RM$15$ per kg$.$ State whether it is elastic or inelastic.

$($c$)$ When the income of consumer increases from RM$1000$ to RM$1400,$ the demand for good $x$ increases from $40$ to $80$ units. Calculate the income elasticity of demand for good $x$ and identify the type of good $x.$

$($d$)$ Calculate the cross elasticity of demand for good $Y$ when price of $x$ increases from RM$10$ to RM$20.$ State whether good $x$ and good $Y$ are complements or substitutes.

$($e$)$ List two $(2)$ factors that can influence the price elasticity of demand.

$($f$)$ Complete the following table:

$\backslash$table$[[$Coefficient of Income Elasticity of Demand,Type of Good$],[$Positive$,],[$Negative$,],[$Zero$,]]$