1. Suppose you own a lemonade stand and sell delicious lemonade in your neighborhood. Ittakes 3 lemons, L2 0, to make a glass of lemonade, Q2 0. Each lemon costs c> 0 and you sell your lemonade for pi > 0. Furthermore, assume that you must pay your neighbor Karen a bribe of F > 0, as you do not have a license to operate the lemonade stand and she will call the police otherwise. a. What is the production function of the lemonade stand? b. What is the profit function of the lemonade stand? c. What is profit maximizing amount of lemonade to sell?

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

1. **Scenario**: You operate a lemonade stand in your neighborhood, requiring 3 lemons (denoted as \(L \geq 0\)) to produce one glass of lemonade, with a production quantity \(Q \geq 0\). Each lemon costs \(c_L > 0\) and you sell your lemonade for a price \(p_L > 0\). Additionally, due to lack of a permit, you must pay your neighbor Karen a bribe of \(F > 0\) to avoid being reported to the authorities.

   a. **Production Function**: What is the function that describes the relationship between the inputs (lemons) and the output (lemonade)?

   b. **Profit Function**: What is the equation that determines the profit of the lemonade stand considering costs and revenues?

   c. **Profit Maximization**: How much lemonade should be sold to achieve maximum profit?

### Explanation

In this scenario, students will explore elements of production and profit optimization. The exercise is designed to help understand concepts such as production functions, cost analysis, and profit maximization within a small business context.
Transcribed Image Text:### Lemonade Stand Economics 1. **Scenario**: You operate a lemonade stand in your neighborhood, requiring 3 lemons (denoted as \(L \geq 0\)) to produce one glass of lemonade, with a production quantity \(Q \geq 0\). Each lemon costs \(c_L > 0\) and you sell your lemonade for a price \(p_L > 0\). Additionally, due to lack of a permit, you must pay your neighbor Karen a bribe of \(F > 0\) to avoid being reported to the authorities. a. **Production Function**: What is the function that describes the relationship between the inputs (lemons) and the output (lemonade)? b. **Profit Function**: What is the equation that determines the profit of the lemonade stand considering costs and revenues? c. **Profit Maximization**: How much lemonade should be sold to achieve maximum profit? ### Explanation In this scenario, students will explore elements of production and profit optimization. The exercise is designed to help understand concepts such as production functions, cost analysis, and profit maximization within a small business context.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Knowledge Booster
Supervisor
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