An insurance company sells policies for $1,000 each. Based on historical data, an average of 1 in 145 policyholders will file a $10,000 claim, an average of 1 in 235 policyholders will file a $50,000 claim, and an average of 1 in 320 policyholders will file a $85,000 claim, a) What is the company's expected payout per policy? $ (Round your answer to the nearest cent) b) What is the company's expected profit per policy? (Round your answer to the nearest cent) c) If the company also pays it's insurance agents a 15% commission per policy sold, then what is the company's expected total profit after selling 2,500 policies? million dollars (Note: answer is in millions) (Round your answer to the nearest tenth of a million, and enter a negative number for a loss)

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
An insurance company sells policies for $1,000 each. Based on historical data, an average of 1 in 145
policyholders will file a $10,000 claim, an average of 1 in 235 policyholders will file a $50,000 claim,
and an average of 1 in 320 policyholders will file a $85,000 claim,
a) What is the company's expected payout per policy?
$4
(Round your answer to the nearest cent)
b) What is the company's expected profit per policy?
(Round your answer to the nearest cent)
c) If the company also pays it's insurance agents a 15% commission per policy sold, then what is the
company's expected total profit after selling 2,500 policies?
million dollars
(Note: answer is in millions)
(Round your answer to the nearest tenth of a million, and enter a negative number for a loss)
Transcribed Image Text:An insurance company sells policies for $1,000 each. Based on historical data, an average of 1 in 145 policyholders will file a $10,000 claim, an average of 1 in 235 policyholders will file a $50,000 claim, and an average of 1 in 320 policyholders will file a $85,000 claim, a) What is the company's expected payout per policy? $4 (Round your answer to the nearest cent) b) What is the company's expected profit per policy? (Round your answer to the nearest cent) c) If the company also pays it's insurance agents a 15% commission per policy sold, then what is the company's expected total profit after selling 2,500 policies? million dollars (Note: answer is in millions) (Round your answer to the nearest tenth of a million, and enter a negative number for a loss)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Expected Utility
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.
Similar questions
  • SEE MORE QUESTIONS
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