Question

Suppose that in a competitive labor market, demand for workers is QD = 10,000 - 100W...

Suppose that in a competitive labor market, demand for workers is QD = 10,000 - 100W and the labor supply is QS = 2000 + 1900W, where Q is the quantity of workers employed and W is the hourly wage.

a. Suppose that the government imposes a minimum wage of $5 per hour. How many people will be employed under the new minimum wage law?

b. Suppose that the demand for workers changes to QD = 14,000 – 100W and the labor supply remains the same. The government still imposes a minimum wage of $5 per hour. How many people will be employed?  

Homework Answers

Answer #1

Equilibrium occurs when demand for labor equals the supply of labor in the factor market.

So,

10000-100W = 2000+1900W

2000W = 10000-2000

W = 8000/2000

W = 4

Quantity of labor Q = 10000-100*4 = 9600

If the wage is set at $5 then

Qs = 2000+1900*5 = 11500

Qd = 10000-100*5 = 9500

There will be surplus labor available in the market. Surplus = Qs - Qd = 11500 - 9500 = 2000

This means that 2000 units of labor will remain unemployed if the minimum wage is set at $5

Now that the Qd changes to Qd = 14000-100W

New Equilibrium,

14000-100W = 2000+1900W

2000W = 12000

W = 6, if the govt still imposes minimum wage of $5 it will not be binding as the market wage is already above the minimum wage.

At W= 6, Q = 14000-100*6 = 13400 labor employed at W=$6

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a competitive labor market, market labor demand and supply functions are given as follows: LS...
In a competitive labor market, market labor demand and supply functions are given as follows: LS = -2500 + 1000W; LD = 10500 - 625W, where LD = labor demand, LS = labor supply and W = hourly wage. The production function Q = 88.8L - 0.5L2 of a firm operating in this market where skiing vehicles are produced, where Q = refers to production (output in units / hour) and L = number of workers employed per hour. This...
Suppose the market demand for labor and market supply of labor are given as QD =...
Suppose the market demand for labor and market supply of labor are given as QD = 700−4W and QS = 5W − 200, respectively. Find the equilibrium quantity of workers and the wage under: (a) Perfect Competition (b) Monopoly (c) Monopsony
Suppose the demand and supply of retail workers are (D): w=150-3E and (S): E= 50+2E, where...
Suppose the demand and supply of retail workers are (D): w=150-3E and (S): E= 50+2E, where w is wage and E is employment. What are the equilibrium wage and employment? Draw demand and supply curves. Suppose the government imposes $80 of minimum wage; how many workers are unemployed? Draw the impact of the minimum wage on the graph. Suppose the government imposes $120 of minimum wage; how many workers are unemployed? Draw the impact of the minimum wage on the...
Low-skilled workers operate in a competitive market. The labor supply isQS = 10W (where W is...
Low-skilled workers operate in a competitive market. The labor supply isQS = 10W (where W is the price of labor measured by the hourly wage) and the demand for labor is QD =240 – 20W. Q measures the quantity of labor hired (in thousands of hours). c. What is the deadweight loss of a $9 minimum wage? d. How much better off does the $9 minimum wage make low-skilled workers (in other words, how much does producer surplus change), and...
1. Suppose the demand function for beer is given by q = 2000−40pb + 20pw +...
1. Suppose the demand function for beer is given by q = 2000−40pb + 20pw + 0.1Y , where pb is the price of beer, pw is the price of wine, and Y is income. If pb = $10, pw = $20, and Y = $5,000, how much would the price of beer need to rise for the quantity demanded to fall to 1300 units? 2. Suppose the supply curve for labor is given by qs = w + 10,...
1.Given: Suppose you are given the following market demand function for apples: QD = 100*I + ...
1.Given: Suppose you are given the following market demand function for apples: QD = 100*I + 2*PSub − P where P is the price per unit of apples, I is consumer income and PSub is the price per unit of grapes (a substitute for apples). And given the market supply function for apples: QS = P − 2*w − 4*m where P is the price per unit of apples, w is the hourly wage rate the firm pays to workers...
Suppose that after an influx of immigrants, labor supply in the market for low-skilled workers is...
Suppose that after an influx of immigrants, labor supply in the market for low-skilled workers is now given by ES = 30w − 180 (was ES = 30w-300). Labor demand is still ED = 300 − 10w. The government decided against imposing a minimum wage and the market wage is freely determined by labor supply and demand. (a) Are the immigrants perfect substitutes or complements for native low-skill labor? (b) Plot the original market equilibrium along with the new labor...
The market for a good is competitive and characterized by a demand function ooof Qd= 30,500-200P...
The market for a good is competitive and characterized by a demand function ooof Qd= 30,500-200P and supply function Qs=10P-1000. The government wants to discourage consumption of the good and imposes a tax at the rate of 10% on the selling good. What is the equilibrium quantity, producer price, consumer price, and the amount of tax revenue raised?
Consider a perfectly competitive market in which the market demand curve is given by Qd =...
Consider a perfectly competitive market in which the market demand curve is given by Qd = 10 – 2Pd, and the market supply curve is given by QS = 2PS. a. ) Find the equilibrium price and quantity in the absence of government intervention. Graph it. B.) Suppose the government imposes a price ceiling of $3 per unit. How much is supplied? C.) Suppose, as an alternative, the government imposes a production quota limiting the quantity supplied to six units....
Suppose the market for cigarettes is characterized by the following information: Qd = 70 – 5P...
Suppose the market for cigarettes is characterized by the following information: Qd = 70 – 5P [Demand] Qs = 3P – 10 [Supply] Suppose the government imposes a sales tax of $2 per unit. Calculate the Dead-Weight- Loss due to the sales tax. [Note: P = price per unit; Qd = thousands of units demanded; Qs = thousands of units supplied]