Questions
Suppose a perfectly competitive market is composed of 100 identical sellers (price-takers). Each individual seller faces...

  1. Suppose a perfectly competitive market is composed of 100 identical sellers (price-takers). Each individual seller faces the following private marginal costs of production:
Quantity 1 2 3 4 5 6 7
Marginal Cost 50 40 60 80 100 120 140

a. If the price of the good is $100, how many units would this firm produce? How many would be produced in the market?

b. If the price of the good is $120, how many units would this firm produce? How many would be produced in the market?

c. If the price of the good is $140, how many units would this firm produce? How many would be produced in the market?

d. Suppose the table below gives the points along the market demand curve for this good.

Price 180 160 140 120 100 80
Quantity Demanded 300 400 500 600 700 800

Given all the information above, what will be the equilibrium price and quantity in this perfectly competitive market?

e. Now suppose that each unit produced by these firms creates waste which negatively affects others in the economy by an amount equal to $40 for each unit produced. If firms in this market considered the social costs of production when deciding output, rather than the private costs, what would be the equilibrium price and quantity?

f. How does this price and quantity compare to the outcome when only private costs were considered?

g. List 2 ways the government could get these firms to consider the social costs of production when deciding their output levels.

  1. Suppose consumer decisions to purchase a product in a market are based solely on the private benefits these consumers expect to receive from the product. These decisions lead to the following market demand curve:
Price 15 14 13 12 11 10 9 8
Quantity Demanded 10 20 30 40 50 60 70 80

The market supply contains the following points:

Price 15 14 13 12 11 10 9 8
Quantity Supplied 70 65 60 55 50 45 40 35

a. What is the equilibrium price and quantity?

b. Now suppose each product purchased by these consumers also creates a positive externality for others of $3. If these consumers were to consider the social benefits of their purchases when deciding to buy, rather than just the private benefits, what would be the new equilibrium price and quantity?

c. How does this new equilibrium compare to the previous equilibrium when only private benefits were considered?

d. List 2 ways the government could get these consumers to consider the social benefits of their purchases when deciding to buy.

In: Economics

Table below presents information on three US Treasury bonds: Maturity Coupon Rate Price (per $100 of...

Table below presents information on three US Treasury bonds:

Maturity

Coupon Rate

Price (per $100 of Face value)

6 months

1%

99.75

12 months

2%

100.5

18 months

1.5%

98.5

Use this information to answer the following questions:

  1. Is term structure increasing or decreasing? Please provide the explanation for the main reason for the term structure being increasing or decreasing.

In: Finance

Table below presents information on three US Treasury bonds: Maturity Coupon Rate Price (per $100 of...

Table below presents information on three US Treasury bonds:

Maturity

Coupon Rate

Price (per $100 of Face value)

6 months

1%

99.75

12 months

2%

100.5

18 months

1.5%

98.5

Use this information to answer the following questions:

Suppose that US Treasury plans to issue 5% coupon bonds, which pay semi-annual coupons. The bonds will mature in 18 months. What is the price of these bonds?

In: Finance

Fixed costs 100,000 Compute: Selling price per unit 100 Required sales in units to earn desired...

Fixed costs 100,000 Compute:
Selling price per unit 100 Required sales in units to earn desired net income
Variable costs per unit 20 Required sales in $$ to earn desired net income
Desired net income 50,000
Fixed costs 200,000 Compute:
Selling price per unit 500 Break even in units
Variable costs per unit 100 Break even in $$
Desired net income 100,000 Required sales in units to earn desired net income
Required sales in $$ to earn desired net income
Fixed costs 100,000 Compute:
Contribution margin ratio 40% Break even in $$
Desired net income 200,000 Required sales in $$ to earn desired net income
Fixed costs 400,000 Compute:
Variable costs as a % of sales 20% Break even in $$
Desired net income 500,000 Required sales in $$ to earn desired net income
Fixed costs 300,000 Compute:
Variable costs as a % of sales 20% Break even in $$              500,000
Current net income 500,000 Current sales in $$ 1 ,000,000
Desired net income 1,000,000 Required sales in $$ to earn desired net income

In: Accounting

What price do farmers get for their watermelon crops? In the third week of July, a...

What price do farmers get for their watermelon crops? In the third week of July, a random sample of 41 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.90 per 100 pounds.

(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop. What is the margin of error? (Round your answers to two decimal places.)

lower limit     $
upper limit     $
margin of error     $


(b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.31 for the mean price per 100 pounds of watermelon. (Round up to the nearest whole number.)
farming regions

(c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)

lower limit     $
upper limit     $
margin of error     $

In: Statistics and Probability

What price do farmers get for their watermelon crops? In the third week of July, a...

What price do farmers get for their watermelon crops? In the third week of July, a random sample of 45 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.90 per 100 pounds.

(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop. What is the margin of error? (Round your answers to two decimal places.)

lower limit     $
upper limit     $
margin of error     $


(b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.31 for the mean price per 100 pounds of watermelon. (Round up to the nearest whole number.)
farming regions

(c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)

lower limit     $
upper limit     $
margin of error     $

In: Statistics and Probability

What price do farmers get for their watermelon crops? In the third week of July, a...

What price do farmers get for their watermelon crops? In the third week of July, a random sample of 41 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.96 per 100 pounds.

(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop. What is the margin of error? (Round your answers to two decimal places.)

lower limit     $
upper limit     $
margin of error     $


(b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.41 for the mean price per 100 pounds of watermelon. (Round up to the nearest whole number.)
farming regions

(c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)

lower limit     $
upper limit     $
margin of error     $

In: Statistics and Probability

What price do farmers get for their watermelon crops? In the third week of July, a...

What price do farmers get for their watermelon crops? In the third week of July, a random sample of 45 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.98 per 100 pounds.

(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop. What is the margin of error? (Round your answers to two decimal places.)

lower limit     $  
upper limit     $  
margin of error     $  


(b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.41 for the mean price per 100 pounds of watermelon. (Round up to the nearest whole number.)
64  farming regions

(c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)

lower limit     $
upper limit     $
margin of error     $

In: Statistics and Probability

What price do farmers get for their watermelon crops? In the third week of July, a...

What price do farmers get for their watermelon crops? In the third week of July, a random sample of 45 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.94 per 100 pounds.

(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop. What is the margin of error? (Round your answers to two decimal places.)

lower limit     $
upper limit     $
margin of error     $


(b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.45 for the mean price per 100 pounds of watermelon. (Round up to the nearest whole number.)
farming regions

(c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)

lower limit     $
upper limit     $
margin of error     $

In: Statistics and Probability

What price do farmers get for their watermelon crops? In the third week of July, a...

What price do farmers get for their watermelon crops? In the third week of July, a random sample of 44 farming regions gave a sample mean of x = $6.88 per 100 pounds of watermelon. Assume that σ is known to be $1.96 per 100 pounds.

(a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop. What is the margin of error? (Round your answers to two decimal places.)

lower limit     $
upper limit     $
margin of error     $


(b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.39 for the mean price per 100 pounds of watermelon. (Round up to the nearest whole number.)
farming regions

(c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop. What is the margin of error? Hint: 1 ton is 2000 pounds. (Round your answers to two decimal places.)

lower limit     $
upper limit     $
margin of error     $

In: Statistics and Probability