Calculate the demand elasticity of the hotel room

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Reference no: EM13832309

Question 1-

Part A: The table sets out the demand and supply schedules for banana.

(a) Suppose a cyclone destroyed some banana farms in QLD and the quantity of banana supplied decreased by 100 boxes a week at each price. But at the same time the demand for banana increased by 100 boxes a week at each price. Explain what would happen to the market supply and demand curves? How and why would the market equilibrium price and quantity adjust at the end? What would be the new equilibrium price and quantity? Draw a graph and illustrate the changes on your graph.

Price

(dollars    per box)

Quantity
 demanded

Quantity
supplied

 

(boxes a week)

12

100

800

10

200

700

8

300

600

6

400

500

4

500

400

2

600

300

A tour agency's demand schedule for hotel rooms is given in the table.

(b) What happens to total expenditure of the tour agency if the price falls from $350 to $250 per night per room? Calculate the demand elasticity of the hotel room. Is the demand for hotel room elastic, inelastic, or unit elastic?

Price
(dollars
per night per room)

Quantity demanded
(no. of rooms
per night)

150

150

250

130

350

110

450

550

90

70

Part B: Answer the following questions.

(c) When Yeon's income was $2,200, he bought 5 kgs of rice a month. Now his income is $3,300 and he buys 4.75 kgs of rice a month.Calculate Yeon's income elasticity of demand forrice. Show your calculation. Is rice income elastic or inelastic? Is rice normal good or inferior good?

Suppose an outbreak of mad cow disease cuts the quantity of beefdemandby 10 per cent.

(d) If the price elasticity of demand for beef is -1.25, by how much would the price of beefhave fallen if the demand for beef increased by 10 per cent? Show your calculation.

(e) Market analysts estimate that the change in the price of beef will decrease the price of pork by 20 per cent and decrease the quantity demanded forbeef by 10 per cent.What is the cross price elasticity of demand for beefwith respect to the price of pork?Does the elasticity indicate that beef and pork are substitutes or complements?

(f) Market analysts estimate that, a 10 per cent increase in the change in the price of pasta sauce will decrease the quantity of spaghetti noodle demanded by 6 per cent.What is the cross elasticity of demand for spaghetti noodle with respect to the price of pasta sauce? Does the elasticity indicate that spaghetti noodle and pasta sauce are substitutes or complements?

Question 2-

Part A:

The table shows the demand and supply schedules for US wheat market.The US Farm Bill 2012 indicates that the domestic price of wheat will be set at $300 per tonne, which is above the market equilibrium level of $250 per tonne, in order to support for domestic wheat growers. At the market equilibrium, 1,000 kilo tonnes(Kt) are supplied.

Price

(dollar per tonne)

Quantity

demanded

(kilotonnes)

Quantity

supplied

(kilotonnes)

100

2,000

        0

150

1,400

    600

200

1,200

    800

250

1,000

1,000

300

    800

1,200

350

    600

1,400

400

        0

2,000

(a) The US Farm Bill 2012 indicates that the domestic price of wheat is set at $300 per tonne, which is above the market equilibrium level of $250 per tonne, in order to support for domestic wheat growers. On a graph, show if it creates a shortage or a surplus in the market for wheat, and explain why and by how much.

(b) On a graph, explain how the price control in the US would change the consumer surplus, producer surplus, and deadweight loss in the domestic wheat market. Assume that the US does not trade wheat internationally. Also, calculate the changes in consumer surplus, producer surplus and deadweight loss. (Remember 1 kilo tonne = 1,000 tonnes)

Part B:

Korea imports a large quantity of beef. With no beef trade, Korea's equilibrium price for beef was $8 million per kilo tonne and equilibrium quantity was 375 kilo tonne. If Korea opens its beef market to trade with no tariff, domestic demand would be 625 kilo tonne and domestic supply would be 125 kilo tonne at the world price of $4 million per kilo tonne. However, Korea currently imposes 40 per cent tariff rate on all imported beef. With 40 per cent tariff, Korea's domestic supply and domestic demand were 250 kilo tonne and 500 kilo tonne respectively in 2013. Assume that intercept of supply curve is $2 million and demand curve is $15 million per kilo tonne.

(c) Analyse the effects of 40 per cent tariff rate on the price of beef in Korea and Korea's beef imports in comparison with no tariff case. Provide numeric details.

(d) Draw a graph and clearly show how the areas of gains and losses from the trade with 40 per cent tariff rate would change before and after the tariffwith brief explanation. Then, calculate the actual value of change in consumer surplus, producer surplus, tariff revenue and the amount of deadweight loss. Show your calculation.

Question 3

Part A: Answer the following questions.

(a) Terri runs a rose farm. The following table provides information on the number of workers and corresponding output. Complete the table for Terri's marginal product and average product of labour schedules. Briefly explain how you calculate and show your calculation.

Labour
(workers
per week

Output (roses
per week)

Average
product
(roses per week)

Marginal product
(roses per week)

1

1,000

 

 

 

 

 

 

2

2,000

 

 

 

 

 

 

3

4,000

 

 

 

 

 

 

4

5,000

 

 

(b) ProPainters hires students at $250 a week to paint houses. It leases equipment at $500 a week. The table sets out its total product schedule. Calculate and construct ProPainters' cost schedules - that is, total cost (TC), average fixed cost (AFC), average variable cost (AVC), average total cost (ATC) and marginal cost (MC) per house painted. Briefly explain how you calculate each cost schedule and show your calculation.

Labour (workers

per week)

Output (houses

painted

per week)

TC

(dollars)

AFC

(dollars

 per

house)

AVC (dollars per house)

ATC

(dollars

per house)

MC (dollars per house)

1

2

 

 

 

 

 

 

 

 

 

 

 

 

2

5

 

 

 

 

 

 

 

 

 

 

 

 

3

9

 

 

 

 

 

 

 

 

 

 

 

 

4

12

 

 

 

 

 

 

 

 

 

 

 

 

5

14

 

 

 

 

 

 

 

 

 

 

 

 

6

15

 

 

 

 

 

Part B: Answer the following questions.

The market for smoothies is perfectly competitive. The following table sets out the market demand schedule. Each of the 100 producers of smoothies has the costs given in the second table when it uses its least-cost plant:

Price (dollars per smoodie)

 

Market Quantity demanded (smoodies

 per hour)

Each Firm's

Output (smoodies per hour)

Marginal cost (dollars per additional smoddie)

Average variable cost (dollars per smoodie) 

Average

total cost (dollars per smoodie) 

1.90

10,000

30

2.50

4.00

7.33

2.00

9,200

45

2.20

3.53

6.03

2.20

8,000

60

1.90

3.24

5.24

3.15

7,000

70

3.15

2.80

4.67

3.55

6,200

75

3.75

3.15

4.35

4.25

5,600

80

4.25

3.50

4.25

5.00

5,000

85

6.00

4.33

4.88

(c) What is the market price and market output of smoodie in the short run and how many smoodies does each firm produce an hour? What is the economic profit made or economic loss incurred by each firm? Explain and show how you calculated.

(d) What are the market equilibrium price and quantity demanded for smoodie in the long run? Do firms make economic profit or incur a loss? Explain why. Also, what will be the number of firms producing smoodie in the long run?

Reference no: EM13832309

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