question_1.doc

Question 1

1.  

Chez Henri is a restaurant chain that operates in 40 different cities. It hired an economist to estimate the factors affecting the demand for its sales. The following equation was estimated using cross sectional data from each of its 40 restaurants.

Y

Annual restaurant sales (in thousands)

X1

Disposable per capital income (in thousands) of the residents living within 5 miles of a restaurant

X2

Population (in thousands) within a 5-mile radius of a restaurant

X3

Number of competing restaurants within a 5-mile radius

The following information was obtained from the regression analysis: Multiple R: 0.92 R-Square: 0.85 Std. Error of Est.: 0.40

Analysis of Variance

 

 

 

 

 

DF      

Sum Squares    

Mean Sqr.       

F-Stat 

Regression

3

220

73.3              

18.2

Residual 

36

60

1.7

 

 

 

 

 

 

Variable

Coefficient

Std. Error           

T-Value

 

Constant

0.4                       

0.2                      

2.0

 

X1

0.01                    

0.004

2.5

 

X2

0.02                    

0.015

1.3

 

X3

-20.2

4.50                     

-4.6

 

Answer the following questions: a. Give the estimated demand equation for predicting restaurant sales. b. Provide an interpretation for each of the regression coefficients. c. Which of the coefficients are statistically significant and which are not? Explain. d. What percent of variation are restaurant sales explained by this equation?

Answer

image16

image17

Path:body

image20.png

20 points  

Question 2

1.  

Cameron is an investor trying to decide among the following three different investment options.

Option A: Price today: $1000 One year from today Cameron will receive one of the following payments: $1,250 with a probability of 90% $1,000 with a probability of 8% $0 with a probability of 2%

Option B: Price today: $1000 One year from today Cameron will receive one of the following payments: $4,000 with a probability of 30% $1,000 with a probability of 50% $0 with a probability of 20%

Option C: Price today: $1000 One year from today Cameron will receive one of the following payments: $2,000 with a probability of 33% $1,000 with a probability of 34% $0 with a probability of 33%

a. What is the expected value (payment) of each of the options at the end of the year? b. Which of the options has the highest risk? Why? c. If Cameron is a risk neutral inventor, which option will be selected? d. How would your answer change if Cameron is a risk adverse investor?

Answer

image36

image37

Path:body

image40.png

20 points  

Question 3

1.  

Hernandez Corp. uses two variable inputs, X and Y, to produce its final product, canoes. Its engineering department has estimated the marginal product functions for inputs X and Y as follows: MPx = Y/X MPy = 4 X/Y Where X and Y denote, respectively, the quantity in hours of inputs X and Y used. At present Hernandez Corp. pays $40 per hour for input X and $10 per hour for input Y. It is using 200 hours of X and 100 hours of Y per day.

a. Write a paragraph explaining how the Hernandez Corp. finds the least cost combination of inputs for producing a given rate of output.

b. Using the data provided above, determine if the Hernandez Corp. is using a cost minimizing combination of inputs. Explain your answer/show your work. If your answer is no, how should the input combination be adjusted?

Answer

image56

image57

Path:body

image60.png

20 points  

Question 4

1.  

If hurricanes destroy a large percentage of orange trees in Florida, the equilibrium price of oranges in California will ________________ because Florida and California oranges are _________________ and have a ________________ cross elasticity of demand.

Answer

image61.wmf

rise, substitutes, positive

image62.wmf

rise, substitutes, negative

image63.wmf

fall, substitutes, positive

image64.wmf

fall, complements, negative

10 points  

Question 5

1.  

Which of the following items is likely to have the most price elastic demand?

Answer

image65.wmf

breakfast cereal

image66.wmf

table salt

image67.wmf

Kellogg’s Corn Flakes

image68.wmf

gasoline

10 points  

Question 6

1.  

If the cost of water used to irrigate orange groves in California increases, the __________ curve of California oranges ___________________. This leads to _________________ in the equilibrium price for California oranges and ____________ in the equilibrium quantity sold.

Answer

image69.wmf

demand, shifts to the right, an increase, an increase

image70.wmf

supply, shifts to the left, an increase, a decrease

image71.wmf

supply, shifts to the right, a decrease, an increase

image72.wmf

demand, shifts to the left, an increase, a decrease

image73.wmf

supply, shifts to the left, a decrease, an increase

10 points  

Question 7

1.  

When average consumer income increases from $40,000 to $44,000 in Mapleville, the quantity demanded of widgets went from 10 to 9 units per capita, even though the price of widgets and other products did not change. The income elasticity of demand for widgets (using the midpoint method) is: (DO NOT USE SYMBOLS OTHER THAN A DECIMAL POINT OR NEGATIVE SIGN IN YOUR ANSWER. IF YOU USE A NEGATIVE SIGN, DO NOT LEAVE A SPACE BETWEEN IT AND THE NUMBER.)

Answer

image74.wmf

10 points  

Question 8

1.  

Last month Jones Hat Company sold 100 hats at $10 each. This month it raised the price of hats to $11 and sold 101 hats. This result indicates

Answer

image75.wmf

that another factor, such as income, changed, shifting the demand curve for hats to the right.

image76.wmf

the demand curve for hats is upward sloping.

image77.wmf

the law of demand is violated.

image78.wmf

another factor, such as income, changed, shifting the demand curve to the left.

image79.wmf

the supply curve of hats shifted upward.

10 points  

Question 9

1.  

Jesse sells 400 candles per month at an average price of $5 per candle. Costs of supplies to produce and sell the candles are $500. Rather than producing and selling candles, Jesse could be working at a second job earning $800 per month. What is Jesse's monthly ECONOMIC profit? (DO NOT USE SYMBOLS OTHER THAN A DECIMAL POINT IN YOUR ANSWER.)

Answer

image80.wmf

10 points  

Question 10

1.  

Use the terms "rising," "falling," or "staying the same" (but without the quotation marks) when filling in the following blanks. When the average total cost curve is "U" shaped, the average total cost curve is

image81.wmf

if the marginal cost curve is below it and

image82.wmf

if the marginal cost curve is above it. When average variable cost is minimized, marginal cost is

image83.wmf

and when average total cost is minimized, marginal cost is

image84.wmf

.

10 points  

Question 11

1.  

Firm XYZ measured its MP of labor curve to be the following: MP = 4000 - 2L where L is the number of hours of labor hired per day. XYZ produces gadgets that are sold for $20 each and is able to hire workers for $10 per hour. How many hours of labor should XYZ hire each day to maximize its profits? (DO NOT USE SYMBOLS OTHER THAN A DECIMAL POINT OR NEGATIVE SIGN IN YOUR ANSWER. IF YOU USE A NEGATIVE SIGN, DO NOT LEAVE A SPACE BETWEEN IT AND THE NUMBER.)

Answer

image85.wmf

10 points  

Question 12

1.  

Given the following information about Mega Corp’s costs, provide answers to the questions below.

Quantity

TC

TFC

TVC

ATC

AFC

AVC

MC

0

40

 

 

 

 

 

 

1

 

 

 

52

 

 

 

2

 

 

20

 

 

 

 

3

 

 

 

21.33

 

 

 

4

 

 

 

 

 

 

4

5

 

 

40

 

 

 

 

6

 

 

 

15.67

 

 

 

7

 

 

 

 

 

10

 

8

 

 

96

 

 

 

 

9

 

 

 

 

 

15

 

10

 

 

 

 

 

 

45

(a) Total fixed costs equal

image86.wmf

. (b) When the rate of output is equal to 1, AVC is equal to

image87.wmf

. (c) When the rate of output is equal to 2, MC is equal to

image88.wmf

. (d) Average variable costs are minimized at a rate of output of

image89.wmf

. (e) When the rate of output is 7, total costs are equal to

image90.wmf

. (f) At a rate of output of

image91.wmf

, total variable costs are equal to 135. (g) At a rate of output of

image92.wmf

marginal costs (MC) are equal to 14. (h) Average total costs are minimized at a rate of output of

image93.wmf

.

USE ONLY INTEGERS (WHOLE NUMBERS) WITHOUT DECIMAL POINTS OR OTHER SYMBOLS FOR YOUR ANSWERS. ROUND TO THE NEAREST INTEGER IF NECESSARY.

15 points  

Question 13

1.  

Suppose that the current market price of VCRs is $300, that average consumer disposable income is $30,000, and that the price of DVD players (a substitute for VCRs) is $500. Under these conditions annual U.S. demand for VCRs is 5 million per year. Statistical studies have shown that for VCRs the own-price elasticity of demand is –1.3. The income elasticity of demand for VCRs is 1.7. The cross-price elasticity of demand for VCRs with respect to DVDs is 0.75. Use this information to predict the annual number of VCRs sold if increasing competition from Asia causes VCR prices to fall by 10% with income and the price of DVDs is unchanged.

Answer

image94.wmf

4.35 million

image95.wmf

5.65 million

image96.wmf

5.85 million

image97.wmf

4.58 million

image98.wmf

5 million

10 points  

Question 14

1.  

Suppose that the current market price of VCRs is $300, that average consumer disposable income is $30,000, and that the price of DVD players (a substitute for VCRs) is $500. Under these conditions annual U.S. demand for VCRs is 5 million per year. Statistical studies have shown that for VCRs the own-price elasticity of demand is –1.3. The income elasticity of demand for VCRs is 1.7. The cross-price elasticity of demand for VCRs with respect to DVDs is 0.8. Use this information to predict the annual number of VCRs sold if Income tax reductions raise average disposable personal income by 5%, with prices for DVDs and VCRs unchanged.

Answer

image99.wmf

5.425 million

image100.wmf

4.61 million

image101.wmf

5.2 million

image102.wmf

4.8 million

image103.wmf

6.17 million

10 points  

Question 15

1.  

The widget industry in Springfield is competitive, with numerous buyers and sellers. Consumers don't differentiate among the various brands of widgets (no product differentiation). The industry demand curve is given by: Qd = 998 – 5Pw + 4 Y – 6Pg And the industry supply curve is given by Qs = +15Pw – 3 Wage Where Pw represents the price of widgets, Pg is the price of gasoline, Y is disposable personal income in Springfield, and Wage is wages paid to workers in widget factories. Currently, Y= $10, Pg = $3, and Wage = $20.

What is the market equilibrium price?

Answer

image104.wmf

108

image105.wmf

210

image106.wmf

48

image107.wmf

54

image108.wmf

105

10 points  

Question 16

1.  

The widget industry in Springfield is competitive, with numerous buyers and sellers. Consumers don't differentiate among the various brands of widgets (no product differentiation). The industry demand curve is given by: Qd = 998 – 5Pw + 4 Y – 6Pg And the industry supply curve is given by Qs = +15Pw – 3 Wage Where Pw represents the price of widgets, Pg is the price of gasoline, Y is disposable personal income in Springfield, and Wage is wages paid to workers in widget factories. Currently, Y= $10, Pg = $3, and Wage = $20.

What is the market equilibrium quantity?

Answer

image109.wmf

480

image110.wmf

750

image111.wmf

531

image112.wmf

1075

image113.wmf

780

10 points  

Question 17

1.  

The widget industry in Springfield is competitive, with numerous buyers and sellers. Consumers don't differentiate among the various brands of widgets (no product differentiation). The industry demand curve is given by: Qd = 998 – 5Pw + 4 Y – 6Pg And the industry supply curve is given by Qs = +15Pw – 3 Wage Where Pw represents the price of widgets, Pg is the price of gasoline, Y is disposable personal income in Springfield, and Wage is wages paid to workers in widget factories. Currently, Y= $10, Pg = $3, and Wage = $20.

Suppose Springfield’s economy moves into a recession and Y falls to $9 and rising unemployment allows widget makers to reduce wages to $18 per hour. What happens to the supply and demand curves?

Answer

image114.wmf

The demand curve shifts to the left and the supply curve shifts to the right.

image115.wmf

The demand curve shifts to the left and the supply curve shifts to the left.

image116.wmf

The demand curve shifts to the right and the supply curve shifts to the right.

image117.wmf

The demand curve shifts to the right and the supply curve shifts to the left.

image118.wmf

Neither the supply nor demand curve shifts.

10 points  

Question 18

1.  

The widget industry in Springfield is competitive, with numerous buyers and sellers. Consumers don't differentiate among the various brands of widgets (no product differentiation). The industry demand curve is given by: Qd = 998 – 5Pw + 4 Y – 6Pg And the industry supply curve is given by Qs = +15Pw – 3 Wage Where Pw represents the price of widgets, Pg is the price of gasoline, Y is disposable personal income in Springfield, and Wage is wages paid to workers in widget factories. Currently, Y= $10, Pg = $3, and Wage = $20.

Suppose Springfield’s economy moves into a recession and Y falls to $9 and rising unemployment allows widget makers to reduce wages to $18 per hour. What happens to the equilibrium price and quantity?

Answer

image119.wmf

Equilibrium price rises; the effect on equilibrium quantity is uncertain.

image120.wmf

Equilibrium quantity rises; the effect on equilibrium price is uncertain.

image121.wmf

Equilibrium price falls; the effect on equilibrium quantity is uncertain.

image122.wmf

Equilibrium quantity falls; the effect on equilibrium price is uncertain.

image123.wmf

Nothing happens to the market equilibrium price or quantity.

_1428483155.unknown

_1428483163.unknown

_1428483167.unknown

_1428483169.unknown

_1428483170.unknown

_1428483168.unknown

_1428483165.unknown

_1428483166.unknown

_1428483164.unknown

_1428483159.unknown

_1428483161.unknown

_1428483162.unknown

_1428483160.unknown

_1428483157.unknown

_1428483158.unknown

_1428483156.unknown

_1428483139.unknown

_1428483147.unknown

_1428483151.unknown

_1428483153.unknown

_1428483154.unknown

_1428483152.unknown

_1428483149.unknown

_1428483150.unknown

_1428483148.unknown

_1428483143.unknown

_1428483145.unknown

_1428483146.unknown

_1428483144.unknown

_1428483141.unknown

_1428483142.unknown

_1428483140.unknown

_1428483131.unknown

_1428483135.unknown

_1428483137.unknown

_1428483138.unknown

_1428483136.unknown

_1428483133.unknown

_1428483134.unknown

_1428483132.unknown

_1428483123.unknown

_1428483127.unknown

_1428483129.unknown

_1428483130.unknown

_1428483128.unknown

_1428483125.unknown

_1428483126.unknown

_1428483124.unknown

_1428483119.unknown

_1428483121.unknown

_1428483122.unknown

_1428483120.unknown

_1428483115.unknown

_1428483117.unknown

_1428483118.unknown

_1428483116.unknown

_1428483113.unknown

_1428483114.unknown

_1428483111.unknown

_1428483112.unknown

_1428483109.unknown

_1428483110.unknown

_1428483108.unknown