###PLEASE CHECK IMAGE FOR CORRECT EQUATIONIn 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 equilibrium price and quantity? Please keep your answers to between one and three sentences.In class, we estimated the per-capita demand function for watermelons (in natural logs) to belogQp = -3.7 – 1.02logP + 1.6logYN - 0.75logPFDwhere P is the price of watermelon YN is per capita income, and PF is the freight price. Suppose thenatural 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 acomplement or substitute? What is the income elasticity of watermelon demand and whatdoes 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?

Answered: Image /qna-images/answer/96fbcfbc-bd78-4b6f-8910-3e29d8f6c170.jpg

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?

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?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter16: Labor Markets

Section: Chapter Questions

Problem 16.4P

See similar textbooks

Similar questions

In the United States, one of the largest welfare programs is the Supplemental NutritionAssistance Program (SNAP) representing the second largest in-kind transfer programfor individuals in the US. From the abstract of the study we are told “[a] 1% increasein benefits per population raises grocery prices by a persistent 0.08%. A calibratedpartial-equilibrium model implies a marginal benefit dollar raises a recipient’s consumersurplus from groceries by $0.7, producer surplus by $0.5, and lowers each non-SNAPconsumer’s surplus by $0.05.” In other words, increasing the size of the in-kind transferleads to higher prices. This higher price results in a larger surplus for grocery stores anda lower consumer surplus for individuals not participating in SNAP. Those individualswho participate in SNAP can increase their overall consumer surplus as they haveaccess to more goods, despite the higher price. This result is estimated using thenearly 100% redemption of the SNAP benefits (i.e. assuming the…
The market for low-skilled workers is highly competitive, due to the high numbers of low skilled individuals. If the labor supply is given by the equation QS = 10W and measured per hour, and the demand for labor is given by the equation QD = 240 − 20W. Where Q measures the quantity of labor hired (in thousands of hours). Answer the following: (d) After the implementation of the $9 minimum wage, in terms of surplus how much better off are low-skilled workers and how much worse off are employers? (e) If the minimum wage is set at $11 rather than $9 how does the deadweight loss and surplus change?
Normally, the people of COVID-FREE LAND demand of 3,000 sanitizers and 18,000 toilet rolls. Suddenly, there is an outbreak of COVID19 and the demand for sanitizers and toilet rolls has increased to 4,000 and 20,000, respectively. How would COVID-FREE LAND meet itsnew demand. Identify and comprehensively discuss at least three possibilities or ways. State all appropriate assumptions made.
The government imposes a minimum wage $w on the price of labor, where the market demand and supply are Q = 300 – p and Q = p respectively. (a What level of minimum wage maximizes PS (the surplus to producers of labor, that is, the welfare of the employee pool)? Assume the best case scenario where the candidate workers whose willingness-to-accept- wages are lowest get the jobs in the rationing process b. For w = 250, calculate the PS for the worst case scenario, where the candidate workers whose willingness-to-accept wages are highest end up getting the jobs in the rationing process.
In the United States, one of the largest welfare programs is the Supplemental NutritionAssistance Program (SNAP)1representing the second largest in-kind transfer programfor individuals in the US. From the abstract of the study we are told “[a] 1% increasein benefits per population raises grocery prices by a persistent 0.08%. A calibratedpartial-equilibrium model implies a marginal benefit dollar raises a recipient’s consumersurplus from groceries by $0.7, producer surplus by $0.5, and lowers each non-SNAPconsumer’s surplus by $0.05.” In other words, increasing the size of the in-kind transferleads to higher prices. This higher price results in a larger surplus for grocery stores anda lower consumer surplus for individuals not participating in SNAP. Those individualswho participate in SNAP can increase their overall consumer surplus as they haveaccess to more goods, despite the higher price. This result is estimated using thenearly 100% redemption of the SNAP benefits (i.e. assuming the…
For a social welfare function W = W(U1(M1); ... ; UH (MH )), where Mh is income the ‘‘social marginal utility of income’’ is defined by for all h, show that the social marginal utility of income is decreasing in Mh for a utilitarian social welfare function. Use this to argue that a fixed stock of income will be distributed equally. Show that the argument extends to any anonymous and concave social welfare function when all consumers have the same utility function.
Suppose that Congress passes a law requiringemployers to provide employees some benefit (suchas healthcare) that raises the cost of an employee by$4 per hour.a. What effect does this employer mandate haveon the demand for labor? (In answering this andthe following questions, be quantitative whenyou can.)b. If employees place a value on this benefit exactlyequal to its cost, what effect does this employermandate have on the supply of labor?c. If the wage can freely adjust to balance supply anddemand, how does this law affect the wage andthe level of employment? Are employers better orworse off? Are employees better or worse off?d. Suppose that, before the mandate, the wage in thismarket was $3 above the minimum wage. In thiscase, how does the employer mandate affect thewage, the level of employment, and the level ofunemployment?e. Now suppose that workers do not value themandated benefit at all. How does this alternativeassumption change your answers to parts(b) and (c)?
How do minimum wages affect wages, employment, and unemployment? In a competitive labor market, the demand for workers is given as QD = 10,000 - 100W, and the supply of workers is given as QS = 2,000 + 1,900W, where Q is the quantity of workers employed and W is the hourly wage. What is the initial equilibrium wage and employment level? Suppose that the government decides that $5 per hour is the minimum allowable wage in any market. How would this new minimum wage alter this market? What would the new employment level be? What would happen to total payments to labor? Would there be any excess supply of labor? If so, how much?
Consider a consumer who could earn $400 per week and has 50 weeks available each year to allocate between work (H) and nonmarket time (L). They have no non-labour income. Their utility function is U = C2L , where C is the value of consumption goods. What is their optimal choice for the number of weeks in nonmarket time and consumption? Show this in a diagram. Suppose the government introduces a policy that (i) offers no benefits to people who do not work, (ii) offers a wage subsidy on earnings at a rate of 25%, with a maximum benefit of $5000, and (iii) the benefit is subject to reduction at a rate of 25% for every dollar earned above $20,000 in the year. Show the person’s new budget constraint in a new diagram, and discuss how the person’s optimal choice might change (you do not have to calculate this, but point to where it is likely on the new budget constraint). Discuss how income and substitution effects play a role.
Consider the labor market, i.e. the market for hours of work. When analyzing labor markets, price is just the hourly wage (e.g. 10 dollars an hour), and quantity is the number of hours demanded (by firms) or supplied (by workers). Suppose the government imposes a minimum wage of $15 per hour. True or false? (i) If the inverse demand function is P = 100 -15Q + 0.5Q2, Q<=10, and the supply function is Q = P2/18, where Q is in million hours and P is in dollars per hour, the imposition of the minimum wage will cause the market quantity of work hours to increase. (ii) If the demand and supply functions are given by Q = 10 - P and Q = P, where Q is in million hours and P is in dollars per hour, there will be an excess demand for labor.
I would like to know just part d,e, and f. Thank you Suppose that the supply of tomato soup in a city is represented byQS = 100P – 10PT − 50where P is the price of tomato soup and PT is price of tomato needed to produce tomato soup. All prices are indollars and quantity is in liters.Assume that the current tomato price is $15.Suppose that the demand for the tomato soup is QD = 1000−60P + 0.3Iwhere P is the price of the tomato soup and I is a representative household’s income.Assume that at the equilibrium, income is $12000.a) What are the current equilibrium price and quantity of the tomato soup? Show the equilibrium on a detailedgraph.b) Suppose that income decreases to $10400. What is the new equation for the demand for tomato soup? Doesthis correspond to an increase or decrease in the demand for tomato soup? Show the effect of this event onthe equilibrium and the diagram you used in part (a)c) Start from the equilibrium in part a) and now suppose that the price of the tomato…
Consider the labour market for farms during the harvest season. Assume the market is perfectly competitive, with a labour demand function QD = 10-P and a labour supply function QS = 3P, where P is the wage. a) What are the consumer (farm owners) surplus and producer (farm workers) surplus in equilibrium? b) What is the price elasticity of demand at the equilibrium? c) Suppose the government subsides the farm owners (consumers) $1 for every unit of labour purchased. Then, compute the quantity of labour traded in the market, the wage received by the workers and the wage paid by the farm owners. d) Calculate the consumer surplus and producer surplus in the presence of the subsidy in part c).