Assignment 1: Demand
Estimation
Due Week 3 and worth 200 points
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
GUIDELINES
Write a four to six (4-6) page paper
in which you:
- Compute the elasticities for each
independent variable. Note: Write down all of your calculations.
- 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.
- Recommend whether you believe that this firm should or
should not cut its price to increase its market share. Provide support for
your recommendation.
- 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.
- Plot the demand curve for the firm.
- Plot the corresponding supply curve on the same graph
using the following MC / supply function Q = -7909.89 + 79.1P with the
same prices.
- Determine the equilibrium price and quantity.
- 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.
- 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.
- Use at least three (3) quality academic resources in
this assignment. Note: Wikipedia does not qualify as an academic
resource.
Your assignment must follow these
formatting requirements:
- Be typed, double spaced, using Times New Roman font
(size 12), with one-inch margins on all sides; citations and references
must follow APA or school-specific format. Check with your professor for
any additional instructions.
- Include a cover page containing the title of the
assignment, the student’s name, the professor’s name, the course title,
and the date. The cover page and the reference page are not included in
the required assignment page length.
The specific course learning
outcomes associated with this assignment are:
- Analyze how production and cost functions in the short
run and long run affect the strategy of individual firms.
- Apply the concepts of supply and demand to determine
the impact of changes in market conditions in the short run and long run,
and the economic impact on a company’s operations.
- Use technology and information resources to research
issues in managerial economics and globalization.
- Write clearly and concisely about managerial economics
and globalization using proper writing mechanics.
Additional info for assignment:
Hints for Assignment 1
Please
review the following files posted in Week 2 Instructor Insights.
Demand
Estimation – Sample Analytical Problem
- It shows how elasticities are calculated for the independent
variables in the regression equation.
- It also shows how you can interpret the elasticities.
- Graphing Supply and Demand Instructions and Graphing Supply and Demand Sample
Problem
- These files will show you how to graph in Excel.
Under
Instructor Insights, you can find additional material on demand estimation and
using Excel.
IMPORTANT!!! You should use Option 1. Ignore Option 2.
Question
1:
You
should compute the elasticity for each independent variable as shown in the
sample analytical problem mentioned above.
Note: Do not convert the cents into dollars.
Question
2:
Interpret the elasticities as shown in the sample
analytical problem.
Question
3:
You should look at the price elasticity of
demand to answer this question. If the absolute value of elasticity is smaller
than 1, the demand is inelastic, and the company would lose revenue if it cuts
its price. If the absolute value of elasticity is bigger than 1, then the
demand is price elastic and the company would increase its market share and its
revenue if it cuts the price.
Question
4:
The supply
function is given to you. It is Q = -7909.89 + 79.0989P. You have to calculate
the demand function. The regression equation is the demand function, but
you have to keep all factors that affect the demand constant, except for the
price. So, you can plug in the provided values of Px, I, A, and M in the regression
equation. Thus, you will derive the demand function, which shows the
relationship between quantity demanded and price assuming that nothing else
changes.
Here
is and example based on the demand equation in the sample analytical problem.
QD = 15,000 – 10 P
+ 1500 A + 4 PX
+
2 I
Q
= Quantity demanded
P
= Price = 7,000
A
= Advertising expense, in thousands = 54
PX = Price of competitor’s product = 8,000
I
= Average monthly income = 4,000
QD = 15,000 – 10 P
+ 1500 (54) + 4 (8,000) + 2 (4,000)
QD = 15,000 – 10 P
+ 81,000 + 32,000+ 8,000
QD = 136,000 – 10 P
(this is the demand function)
Follow the graphing instructions to plot the
demand curve.
- Enter in one column the prices 100, 200,…,600
- Calculate the quantity demanded at each price using the demand
function in a second column.
- Then, graph the demand curve using the graphing instructions.
- Use the supply function and follow the instructions to graph it.
- The equilibrium point would be the point of intersection between
demand and supply curves. The equilibrium price corresponding to this
point is on the vertical axis, and the equilibrium quantity corresponding to
this equilibrium point is on the horizontal axis.
- To answer this question, review the demand and supply factors.
Question
5:
Consider
the most important factors other than the price of the product that can affect
the demand and supply of low-calorie microwavable food. You can do some
research on the demand and supply conditions in this market.
Assignment 1: Demand Estimation
Due Week 3 and worth 200 points
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
GUIDELINES
Write a four to six (4-6) page paper
in which you:
- Compute the elasticities for each
independent variable. Note: Write down all of your calculations.
- 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.
- Recommend whether you believe that this firm should or
should not cut its price to increase its market share. Provide support for
your recommendation.
- 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.
- Plot the demand curve for the firm.
- Plot the corresponding supply curve on the same graph
using the following MC / supply function Q = -7909.89 + 79.1P with the
same prices.
- Determine the equilibrium price and quantity.
- 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.
- 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.
- Use at least three (3) quality academic resources in
this assignment. Note: Wikipedia does not qualify as an academic
resource.
Your assignment must follow these
formatting requirements:
- Be typed, double spaced, using Times New Roman font
(size 12), with one-inch margins on all sides; citations and references
must follow APA or school-specific format. Check with your professor for
any additional instructions.
- Include a cover page containing the title of the
assignment, the student’s name, the professor’s name, the course title,
and the date. The cover page and the reference page are not included in
the required assignment page length.
The specific course learning
outcomes associated with this assignment are:
- Analyze how production and cost functions in the short
run and long run affect the strategy of individual firms.
- Apply the concepts of supply and demand to determine
the impact of changes in market conditions in the short run and long run,
and the economic impact on a company’s operations.
- Use technology and information resources to research
issues in managerial economics and globalization.
- Write clearly and concisely about managerial economics
and globalization using proper writing mechanics.
Additional info for assignment:
Hints for Assignment 1
Please
review the following files posted in Week 2 Instructor Insights.
Demand
Estimation – Sample Analytical Problem
- It shows how elasticities are calculated for the independent
variables in the regression equation.
- It also shows how you can interpret the elasticities.
- Graphing Supply and Demand Instructions and Graphing Supply and Demand Sample
Problem
- These files will show you how to graph in Excel.
Under
Instructor Insights, you can find additional material on demand estimation and
using Excel.
IMPORTANT!!! You should use Option 1. Ignore Option 2.
Question
1:
You
should compute the elasticity for each independent variable as shown in the
sample analytical problem mentioned above.
Note: Do not convert the cents into dollars.
Question
2:
Interpret the elasticities as shown in the sample
analytical problem.
Question
3:
You should look at the price elasticity of
demand to answer this question. If the absolute value of elasticity is smaller
than 1, the demand is inelastic, and the company would lose revenue if it cuts
its price. If the absolute value of elasticity is bigger than 1, then the
demand is price elastic and the company would increase its market share and its
revenue if it cuts the price.
Question
4:
The supply
function is given to you. It is Q = -7909.89 + 79.0989P. You have to calculate
the demand function. The regression equation is the demand function, but
you have to keep all factors that affect the demand constant, except for the
price. So, you can plug in the provided values of Px, I, A, and M in the regression
equation. Thus, you will derive the demand function, which shows the
relationship between quantity demanded and price assuming that nothing else
changes.
Here
is and example based on the demand equation in the sample analytical problem.
QD = 15,000 – 10 P
+ 1500 A + 4 PX
+
2 I
Q
= Quantity demanded
P
= Price = 7,000
A
= Advertising expense, in thousands = 54
PX = Price of competitor’s product = 8,000
I
= Average monthly income = 4,000
QD = 15,000 – 10 P
+ 1500 (54) + 4 (8,000) + 2 (4,000)
QD = 15,000 – 10 P
+ 81,000 + 32,000+ 8,000
QD = 136,000 – 10 P
(this is the demand function)
Follow the graphing instructions to plot the
demand curve.
- Enter in one column the prices 100, 200,…,600
- Calculate the quantity demanded at each price using the demand
function in a second column.
- Then, graph the demand curve using the graphing instructions.
- Use the supply function and follow the instructions to graph it.
- The equilibrium point would be the point of intersection between
demand and supply curves. The equilibrium price corresponding to this
point is on the vertical axis, and the equilibrium quantity corresponding to
this equilibrium point is on the horizontal axis.
- To answer this question, review the demand and supply factors.
Question
5:
Consider
the most important factors other than the price of the product that can affect
the demand and supply of low-calorie microwavable food. You can do some
research on the demand and supply conditions in this market.
"Looking for a Similar Assignment? Order now and Get 10% Discount! Use Code "GET10" in your order"
