Assignment: Demand Estimation

profileangpup
Assignment.docx

Assignment: Demand Estimation

Imagine that you work for the maker of a leading brand of low-calorie, frozen microwavable food that estimates the following demand equation for its product using data from 26 supermarkets around the country for the month of April.

For a refresher on independent and dependent variables, please go to Sophia’s Website and review the Independent and Dependent Variables tutorial, located at  http://www.sophia.org/tutorials/independent-and-dependent-variables--3 .

Option 1

Note: The following is a regression equation. Standard errors are in parentheses for the demand for widgets.

QD       =          - 5200 - 42P + 20PX + 5.2I + 0.20A + 0.25M (2.002)  (17.5) (6.2)    (2.5)   (0.09)   (0.21) R2 = 0.55           n = 26               F = 4.88

Your supervisor has asked you to compute the elasticities for each independent variable. Assume the following values for the independent variables:

Q = Quantity demanded of 3-pack units P (in cents) = Price of the product = 500 cents per 3-pack unit PX (in cents) = Price of leading competitor’s product = 600 cents per 3-pack unit I (in dollars) = Per capita income of the standard metropolitan statistical area (SMSA) in which the supermarkets are located = $5,500 A (in dollars) = Monthly advertising expenditures = $10,000 M                  = Number of microwave ovens sold in the SMSA in which the supermarkets are located = 5,000

Option 2

Note: The following is a regression equation. Standard errors are in parentheses for the demand for widgets.

QD       =          -2,000 - 100P + 15A + 25PX + 10I (5,234)  (2.29)   (525)   (1.75)  (1.5) R2 = 0.85           n = 120             F = 35.25

Your supervisor has asked you to compute the elasticities for each independent variable. Assume the following values for the independent variables:

Q          =          Quantity demanded of 3-pack units P (in cents)       =          Price of the product = 200 cents per 3-pack unit PX (in cents)     =          Price of leading competitor’s product = 300 cents per 3-pack unit I (in dollars)       =          Per capita income of the standard metropolitan statistical area (SMSA) in which the supermarkets are located = $5,000 A (in dollars)     =          Monthly advertising expenditures = $640

Write a four to six (4-6) page paper in which you:

1. Compute the elasticities for each independent variable. Note: Write down all of your calculations.

2. Determine the implications for each of the computed elasticities for the business in terms of short-term and long-term pricing strategies. Provide a rationale in which you cite your results.

3. Recommend whether you believe that this firm should or should not cut its price to increase its market share. Provide support for your recommendation.

4. Assume that all the factors affecting demand in this model remain the same, but that the price has changed. Further assume that the price changes are 100, 200, 300, 400, 500, 600 cents.

a. Plot the demand curve for the firm.

b. Plot the corresponding supply curve on the same graph using the following MC / supply function Q = -7909.89 + 79.1P with the same prices.

c. Determine the equilibrium price and quantity.

d. Outline the significant factors that could cause changes in supply and demand for the low-calorie, frozen microwavable food. Determine the primary manner in which both the short-term and the long-term changes in market conditions could impact the demand for, and the supply, of the product.

5. Indicate the crucial factors that could cause rightward shifts and leftward shifts of the demand and supply curves for the low-calorie, frozen microwavable food.

6. Use at least three (3) quality academic resources in this assignment. Note: Wikipedia does not qualify as an academic resource.

Assignment

:

Demand

Estimation

Imagine

that

you

work

for

the

maker

of

a

leading

brand

of

low

-

calorie,

frozen

microwavable

food

that

estimates

the

following

demand

equation

for

its

product

using

data

from

26

supermarkets

around

the

country

for

the

month

of

April.

For

a

refresher

on

indep

endent

and

dependent

variables,

please

go

to

Sophia’s

Website

and

review

the

Independent

and

Dependent

Variables

tutorial,

located

at

http://www.sophia.org/t

utorials/independent

-

and

-

dependent

-

variables

--

3

.

Option

1

Note:

The

following

is

a

regression

equation.

Standard

errors

are

in

parentheses

for

the

demand

for

widgets

.

QD

=

-

5200

-

42P

+

20PX

+

5.2I

+

0.20A

+

0.25M

(2.002)

(17.5)

(6.2)

(

2.5)

(0.09)

(0.21)

R2

=

0.55

n

=

26

F

=

4.88

Your

supervisor

has

asked

you

to

compute

the

elasticities

for

each

independent

variable.

Assume

the

following

values

for

the

independent

variables:

Q

=

Quantity

dema

nded

of

3

-

pack

units

P

(in

cents)

=

Price

of

the

product

=

500

cents

per

3

-

pack

unit

PX

(in

cents)

=

Price

of

leading

competitor’s

product

=

600

cents

pe

r

3

-

pack

unit

I

(in

dollars)

=

Per

capita

income

of

the

stan

dard

metropolitan

statistical

area

(SMSA)

in

which

the

supermarkets

are

located

=

$5,500

A

(in

dollars)

=

Monthly

advertising

expenditures

=

$10,000

M

=

Number

of

microwave

ovens

sold

in

the

SMSA

in

which

the

super

markets

are

located

=

5,000

Option

2

Note:

The

following

is

a

regression

equation.

Standard

errors

are

in

parentheses

for

the

demand

for

widgets.

QD

=

-

2,000

-

100P

+

15A

+

25PX

+

10I

(5,234)

(2.29)

(525)

(1.75)

(1.5)

R2

=

0.85

n

=

120

F

=

35.25

Your

supervisor

has

asked

you

to

compute

the

elasticities

for

each

independent

variable.

Assume

the

following

values

for

the

independent

variables:

Q

=

Quantity

demanded

of

3

-

pack

units

P

(in

cents)

=

Price

of

the

product

=

200

cents

per

3

-

pack

unit

PX

(in

cents)

=

Price

of

leading

competitor’s

product

=

300

cents

per

3

-

pack

unit

I

(in

dollars)

=

Per

capita

income

of

the

standard

metropolitan

statistical

area

(SMSA

)

in

which

the

supermarkets

are

located

=

$5,000

A

(in

dollars)

=

Monthly

advertising

expenditures

=

$640

Write

a

four

to

six

(4

-

6)

page

paper

in

which

you:

Assignment: Demand Estimation

Imagine that you work for the maker of a leading brand of low-calorie, frozen microwavable

food that estimates the following demand equation for its product using data from 26

supermarkets around the country for the month of April.

For a refresher on independent and dependent variables, please go to Sophia’s Website and

review the Independent and Dependent Variables tutorial, located

at http://www.sophia.org/tutorials/independent-and-dependent-variables--3.

Option 1

Note: The following is a regression equation. Standard errors are in parentheses for the

demand for widgets.

QD = - 5200 - 42P + 20PX + 5.2I + 0.20A + 0.25M

(2.002) (17.5) (6.2) (2.5) (0.09) (0.21)

R2 = 0.55 n = 26 F = 4.88

Your supervisor has asked you to compute the elasticities for each independent variable. Assume

the following values for the independent variables:

Q = Quantity demanded of 3-pack units

P (in cents) = Price of the product = 500 cents per 3-pack unit

PX (in cents) = Price of leading competitor’s product = 600 cents per 3-pack unit

I (in dollars) = Per capita income of the standard metropolitan statistical area

(SMSA) in which the supermarkets are located = $5,500

A (in dollars) = Monthly advertising expenditures = $10,000

M = Number of microwave ovens sold in the SMSA in which the supermarkets are

located = 5,000

Option 2

Note: The following is a regression equation. Standard errors are in parentheses for the

demand for widgets.

QD = -2,000 - 100P + 15A + 25PX + 10I

(5,234) (2.29) (525) (1.75) (1.5)

R2 = 0.85 n = 120 F = 35.25

Your supervisor has asked you to compute the elasticities for each independent variable. Assume

the following values for the independent variables:

Q = Quantity demanded of 3-pack units

P (in cents) = Price of the product = 200 cents per 3-pack unit

PX (in cents) = Price of leading competitor’s product = 300 cents per 3-pack unit

I (in dollars) = Per capita income of the standard metropolitan statistical area

(SMSA) in which the supermarkets are located = $5,000

A (in dollars) = Monthly advertising expenditures = $640

Write a four to six (4-6) page paper in which you: