In class, we estimated the per-capita demand function for watermelons (in natural logs) to be logQD =-3.7 – 1.02logP + 1.6logYN – 0.75logPF where P is the price of watermelon YN is per capita income, and PF is the freight price. Suppose the | natural log of the supply curve is given by logQs = 1.2 + 0.6logP. Please answer both of these: 1) What is the cross-price elasticity of freight and what does it say about whether freight is a complement or substitute? What is the income elasticity of watermelon demand and what does it say about whether watermelon is an inferior versus normal or luxury good? 2) Hold the per capita income and freight prices equal to their sample means: 800 and 16, respectively. What is the equilibrium price and quantity?
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In class, we estimated the per-capita demand function for watermelons (in natural logs) to be
????? = ―3.7 ― 1.02???? + 1.6????? ― 0.75?????
where P is the price of watermelon ?? is per capita income, and ?? is the freight price. Suppose the
natural log of the supply curve is given by ????? = 1.2 + 0.6????.
Please answer both of these:
1) What is the cross-price elasticity of freight and what does it say about whether freight is a
complement or substitute? What is the income elasticity of watermelon demand and what
does it say about whether watermelon is an inferior versus normal or luxury good?
2) Hold the per capita income and freight prices equal to their sample means: 800 and 16,
respectively. What is the
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