Phil Dunphy, a real estate agent, is considering whether he should list an unusual $823,165 house for sale.  If he lists it, he will need to spend $4,964 in advertising, staging, and fresh cookies.  The current owner has given Phil 6 months to sell the house.  If he sells it, he will receive a commission of $24,333.  If he is unable to sell the house, he will lose the listing and his expenses.  Phil estimates the probability of selling this house in 6 months to be 34%.  What is the expected profit on this listing?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter3: Math Models
Section3.6: Solve Applications With Linear Inequalities
Problem 3.110TI: Christian has been offered a new job that pays $24,000 a year plus 3% of sales. For what total sales...
icon
Related questions
icon
Concept explainers
Topic Video
Question

Phil Dunphy, a real estate agent, is considering whether he should list an unusual $823,165 house for sale.  If he lists it, he will need to spend $4,964 in advertising, staging, and fresh cookies.  The current owner has given Phil 6 months to sell the house.  If he sells it, he will receive a commission of $24,333.  If he is unable to sell the house, he will lose the listing and his expenses.  Phil estimates the probability of selling this house in 6 months to be 34%.  What is the expected profit on this listing?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning