VIPSolutionsGive step-by-step solution with explanation and final answer:14. Basing their decisions on pessimism as in Example 2, where should (a) Ms. Cooper of Exercise 12 make her reservation; (b) the truck driver of Exercise 13 go first? EXAMPLE 2 With reference to Example 1, suppose that the manufacturer has no idea about the odds that there will be a recession. What should he decide to do if he is a con- firmed pessimist? Solution Being the kind of person who always expects the worst to happen, he might argue that if he expands his plant capacity now he could lose $40,000, if he delays expan- sion there would be a profit of at least $8,000 and, hence, that he will minimize the maximum loss (or maximize the minimum profit) if he waits at least another year.
Question:
Give step-by-step solution with explanation and final answer:
14. Basing their decisions on pessimism as in Example 2,
where should
(a) Ms. Cooper of Exercise 12 make her reservation;
(b) the truck driver of Exercise 13 go first?
EXAMPLE 2
With reference to Example 1, suppose that the manufacturer has no idea about the
odds that there will be a recession. What should he decide to do if he is a con-
firmed pessimist?
Solution
Being the kind of person who always expects the worst to happen, he might argue
that if he expands his plant capacity now he could lose $40,000, if he delays expan-
sion there would be a profit of at least $8,000 and, hence, that he will minimize the
maximum loss (or maximize the minimum profit) if he waits at least another year.
This is AI generated Response.
Asked by: venkatesh
Created at: 2025-10-06 11:40:51
Asked by: venkatesh
Created at: 2025-10-06 11:40:51
Final Answer:
Rendered
Raw Text
Did you like this answer?
Let's break down the question and solve it step by step using the pessimism (maximin) criterion as described in Example 2.
---
## Step 1: **Understand the Maximin Criterion (Pessimism)**
- **Maximin Criterion:** Choose the option whose worst possible outcome is **better than the worst possible outcomes of the other options**.
- In other words, for each choice, look at the **worst-case scenario**; then pick the choice where this worst-case is the **best among all options**.
---
## Step 2: **Refer to Exercises 12 and 13**
Since you referenced Exercises 12 and 13, let's summarize what they likely involve:
- **Exercise 12:** Ms. Cooper deciding where to make her reservation (likely a hotel or flight, based on common textbook examples).
- **Exercise 13:** The truck driver deciding which route to take first.
**You need to provide the payoff (outcome) tables from Exercises 12 and 13 to solve this concretely.**
But I can show you the general method using the pessimism (maximin) criterion.
---
## Step 3: **General Solution Process**
### **(a) Ms. Cooper (Exercise 12)**
1. **List all reservation options.**
2. **For each option, identify the worst possible outcome (payoff/loss/cost).**
3. **Compare the worst outcomes for all options.**
4. **Choose the option with the least-bad worst outcome.**
### **(b) Truck Driver (Exercise 13)**
1. **List all possible routes.**
2. **For each route, identify the worst possible outcome (e.g., longest time, highest cost, worst delay).**
3. **Compare the worst outcomes for all routes.**
4. **Choose the route with the least-bad worst outcome.**
---
## Step 4: **Template for Your Answers**
Below is a template you can use **once you fill in the actual numbers from Exercises 12 and 13**:
---
### **(a) Ms. Cooper's Reservation (Pessimism Criterion)**
**Step 1:** List the worst outcome for each reservation option:
| Option | Worst Outcome |
|------------------|--------------|
| Option 1 | $X_1$ |
| Option 2 | $X_2$ |
| Option 3 | $X_3$ |
**Step 2:** Select the option with the highest (least negative) worst outcome.
**Final Answer:**
Ms. Cooper should make her reservation at the place where the worst-case outcome is the best among all options.
---
### **(b) Truck Driver's Route (Pessimism Criterion)**
**Step 1:** List the worst outcome for each route:
| Route | Worst Outcome |
|------------------|--------------|
| Route 1 | $Y_1$ |
| Route 2 | $Y_2$ |
| Route 3 | $Y_3$ |
**Step 2:** Select the route with the highest (least negative) worst outcome.
**Final Answer:**
The truck driver should take the route where the worst-case outcome is the best among all routes.
---
## If you provide the payoff tables for Exercises 12 and 13, I can give you the **concrete final answers**!
---
### **Summary**
- **Apply the maximin (pessimism) criterion:** For each option, look at its worst outcome, and choose the option with the best (least bad) worst outcome.
- **You need the actual numbers from Exercises 12 and 13 to give the specific answer.**
---
If you can post the tables from Exercises 12 and 13, I will walk through the exact calculations and give you the specific answer!
📢 Instructions:
- Ask anything relatd to above question only.
- For new Question goto :