2. Copy and paste the following data into Excel: P $224.00 $212.80 10034 $210.56 10569 $209.14 10902 $206.08 11030 $201.60 11167 $183.68 11813 $168.00 11987 Q 9344 a. Run OLS to determine the demand function as P = f(Q); how much confidence do you have in this estimated equation? Use algebra to invert the demand function to Q = f(P). b. Using calculus to determine dQ/dP, construct a column which calculates the point-price elasticity for each (P,Q) combination. c. What is the point price elasticity of demand when P-$210.56? What is the point price elasticity of demand when P=$217.00?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question

   E1

2. Copy and paste the following data into Excel:
P
Q
$224.00
9344
$212.80 10034
$210.56 10569
$209.14 10902
$206.08 11030
$201.60 11167
$183.68 11813
$168.00 11987
a. Run OLS to determine the demand function as P = f(Q); how much confidence do you
have in this estimated equation? Use algebra to invert the demand function to Q = f(P).
b. Using calculus to determine dQ/dP, construct a column which calculates the point-price
elasticity for each (P,Q) combination.
c. What is the point price elasticity of demand when P-$210.56? What is the point price
elasticity of demand when P=$217.00?
d. To maximize total revenue, what would you recommend if the company was currently
charging P=$183.68? If it was charging P=$217.00?
e.
Use your first demand function to determine an equation for TR and MR as a function of
Q, and create a graph of P and MR on the vertical and Q on the horizontal axis.
f. What is the total-revenue maximizing price and quantity, and how much revenue is
earned there? (Round your price to the nearest cent, your quantity to the nearest whole
unit, and your TR to the nearest dollar.) Compare that to the TR when P = $210.56 and P
Transcribed Image Text:2. Copy and paste the following data into Excel: P Q $224.00 9344 $212.80 10034 $210.56 10569 $209.14 10902 $206.08 11030 $201.60 11167 $183.68 11813 $168.00 11987 a. Run OLS to determine the demand function as P = f(Q); how much confidence do you have in this estimated equation? Use algebra to invert the demand function to Q = f(P). b. Using calculus to determine dQ/dP, construct a column which calculates the point-price elasticity for each (P,Q) combination. c. What is the point price elasticity of demand when P-$210.56? What is the point price elasticity of demand when P=$217.00? d. To maximize total revenue, what would you recommend if the company was currently charging P=$183.68? If it was charging P=$217.00? e. Use your first demand function to determine an equation for TR and MR as a function of Q, and create a graph of P and MR on the vertical and Q on the horizontal axis. f. What is the total-revenue maximizing price and quantity, and how much revenue is earned there? (Round your price to the nearest cent, your quantity to the nearest whole unit, and your TR to the nearest dollar.) Compare that to the TR when P = $210.56 and P
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Comparative Advantage
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education