Answer:
The answer is below
Explanation:
The graph is attached below.
a) The price elasticity of demand is given by:
price elasticity of demand = [tex]\frac{\%\ change\ in\ quantity }{\%\ change\ in\ price}=\frac{\Delta Q}{\Delta P}[/tex]
[tex]\Delta Q=\frac{Q_2-Q_1}{(Q_2+Q_1)/2} \\\\\Delta P=\frac{P_2-P_1}{(P_2+P_1)/2}[/tex]
Price of elasticity demand = Â [tex]\frac{\frac{Q_2-Q_1}{(Q_2+Q_1)/2} }{\frac{P_2-P_1}{(P_2+P_1)/2} }[/tex]
Price of elasticity demand = Â [tex]\frac{\frac{50-100}{(50+100)/2} }{\frac{4.5-4}{(4.5+4.0)/2} }=\frac{-0.6667}{0.1176} =5.7[/tex]
Since the price of elasticity demand > 1, it is elastic
b) Price of elasticity demand = Â [tex]\frac{\frac{200-300}{(200+300)/2} }{\frac{3-2}{(3+2)/2} }=\frac{-0.4}{0.4} =1[/tex]
Since the price of elasticity demand = 1, it is unitary
c) Price of elasticity demand = Â [tex]\frac{\frac{400-450}{(400+450)/2} }{\frac{1-0.5}{(1+0.5)/2} }=\frac{-0.1176}{0.6667} =0.18[/tex]
Since the price of elasticity demand < 1, it is inelastic