Use the following payoff table to complete parts (a) through (j). The probability of event 1 is 0.30, the probability of event 2 is 0.50, and the probability of event 3 is 0.20. a. Determine the optimal action based on the maximax criterion. Action is the optimal action based on the maximax criterion because its b. Determine the optimal action based on the maximin criterion. Action is the optimal action based on the maximin criterion because its c. Compute the expected monetary value (EMV) for each action. EMV(A) = $ EMV(B) = $ EMV(C) = $ (Simplify your answers.) EVENT Domand 100 1 payoff is the ▼payoff is the ACTION Buy 100, A ($) Buy 200, B ($) Buy 500, C ($) 500 300 - 300 of all the actions. of all the actions.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Educational Website Content**

---

Use the following payoff table to complete parts (a) through (j). The probability of event 1 is 0.30, the probability of event 2 is 0.50, and the probability of event 3 is 0.20.

**Payoff Table:**

| EVENT        | ACTION           | 
|--------------|------------------|  
| Demand 100   | Buy 100, A ($)   |  
| Demand 200   | Buy 200, B ($)   |  
| Demand 500   | Buy 500, C ($)   |  

---

**a. Determine the optimal action based on the maximax criterion.**

- Action [Dropdown] is the optimal action based on the maximax criterion because its [Dropdown] payoff is the [Dropdown] of all the actions.

**b. Determine the optimal action based on the maximin criterion.**

- Action [Dropdown] is the optimal action based on the maximin criterion because its [Dropdown] payoff is the [Dropdown] of all the actions.

**c. Compute the expected monetary value (EMV) for each action.**

- EMV(A) = $ [Text Box]
- EMV(B) = $ [Text Box]
- EMV(C) = $ [Text Box]

(Simplify your answers.)

---

**Graph/Diagram Explanation:**

The diagram consists of a decision-making table featuring various actions based on different demand levels (100, 200, 500). Each action has an associated payoff in dollars depending on the demand event occurring. The task involves determining optimal actions using decision theory criteria: maximax, maximin, and expected monetary value (EMV).
Transcribed Image Text:**Educational Website Content** --- Use the following payoff table to complete parts (a) through (j). The probability of event 1 is 0.30, the probability of event 2 is 0.50, and the probability of event 3 is 0.20. **Payoff Table:** | EVENT | ACTION | |--------------|------------------| | Demand 100 | Buy 100, A ($) | | Demand 200 | Buy 200, B ($) | | Demand 500 | Buy 500, C ($) | --- **a. Determine the optimal action based on the maximax criterion.** - Action [Dropdown] is the optimal action based on the maximax criterion because its [Dropdown] payoff is the [Dropdown] of all the actions. **b. Determine the optimal action based on the maximin criterion.** - Action [Dropdown] is the optimal action based on the maximin criterion because its [Dropdown] payoff is the [Dropdown] of all the actions. **c. Compute the expected monetary value (EMV) for each action.** - EMV(A) = $ [Text Box] - EMV(B) = $ [Text Box] - EMV(C) = $ [Text Box] (Simplify your answers.) --- **Graph/Diagram Explanation:** The diagram consists of a decision-making table featuring various actions based on different demand levels (100, 200, 500). Each action has an associated payoff in dollars depending on the demand event occurring. The task involves determining optimal actions using decision theory criteria: maximax, maximin, and expected monetary value (EMV).
### Transcription of Spreadsheet Data

#### Table Overview

The following table outlines a comparison of monetary values based on different buying actions under various demand scenarios. Each row represents a specific demand event, and the columns detail the associated costs for different actions taken to fulfill those demands.

#### Table Details

- **Columns:**
  - **Column A - EVENT:** Describes the demand scenario.
  - **Column B - ACTION Buy 100, A ($):** Displays the cost in dollars associated with buying 100 units.
  - **Column C - ACTION Buy 200, B ($):** Lists the cost in dollars for buying 200 units.
  - **Column D - ACTION Buy 500, C ($):** Indicates the cost in dollars when buying 500 units.

- **Rows:**
  - **Row 2 - Demand 100, 1:** 
    - Buy 100: $500
    - Buy 200: $300
    - Buy 500: -$300
  - **Row 3 - Demand 200, 2:** 
    - Buy 100: $500
    - Buy 200: $1000
    - Buy 500: $400
  - **Row 4 - Demand 500, 3:** 
    - Buy 100: $500
    - Buy 200: $1000
    - Buy 500: $2500

#### Analysis

The table helps in understanding the cost implications of purchasing different quantities under varying demand conditions. The negative value in the Buy 500 column for Demand 100 indicates a potential cost savings or profit situation. This tabular data could be beneficial for decision-makers who need to evaluate cost-effective buying strategies based on demand forecasts.
Transcribed Image Text:### Transcription of Spreadsheet Data #### Table Overview The following table outlines a comparison of monetary values based on different buying actions under various demand scenarios. Each row represents a specific demand event, and the columns detail the associated costs for different actions taken to fulfill those demands. #### Table Details - **Columns:** - **Column A - EVENT:** Describes the demand scenario. - **Column B - ACTION Buy 100, A ($):** Displays the cost in dollars associated with buying 100 units. - **Column C - ACTION Buy 200, B ($):** Lists the cost in dollars for buying 200 units. - **Column D - ACTION Buy 500, C ($):** Indicates the cost in dollars when buying 500 units. - **Rows:** - **Row 2 - Demand 100, 1:** - Buy 100: $500 - Buy 200: $300 - Buy 500: -$300 - **Row 3 - Demand 200, 2:** - Buy 100: $500 - Buy 200: $1000 - Buy 500: $400 - **Row 4 - Demand 500, 3:** - Buy 100: $500 - Buy 200: $1000 - Buy 500: $2500 #### Analysis The table helps in understanding the cost implications of purchasing different quantities under varying demand conditions. The negative value in the Buy 500 column for Demand 100 indicates a potential cost savings or profit situation. This tabular data could be beneficial for decision-makers who need to evaluate cost-effective buying strategies based on demand forecasts.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman