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The problem you uploaded involves a fair division scenario using the Sealed Bids method for dividing assets between Tina and John. Let's break this problem down step-by-step to solve it.

### Step 1: Calculate the total value of items according to Tina and John
We need to sum the values each person assigns to all items.

#### Tina's Total Valuation:
- TV: $1,900
- Couch: $1,800
- Fridge: $4,000
- Computer: $2,500

Tina's total valuation is:
\[
1,900 + 1,800 + 4,000 + 2,500 = 10,200
\]

#### John's Total Valuation:
- TV: $1,100
- Couch: $1,600
- Fridge: $3,900
- Computer: $2,800

John's total valuation is:
\[
1,100 + 1,600 + 3,900 + 2,800 = 9,400
\]

### Step 2: Fair share for each person
The fair share is calculated by dividing each person's total valuation by the number of items (4 in this case).

#### Tina's Fair Share:
\[
\frac{10,200}{4} = 2,550
\]

#### John's Fair Share:
\[
\frac{9,400}{4} = 2,350
\]

### Step 3: Item Allocation based on bids
We now allocate the items to the highest bidder. Let's see who wins each item.

- **TV**: Tina values it at $1,900, John values it at $1,100. **Tina** wins the TV.
- **Couch**: Tina values it at $1,800, John values it at $1,600. **Tina** wins the Couch.
- **Fridge**: Tina values it at $4,000, John values it at $3,900. **Tina** wins the Fridge.
- **Computer**: Tina values it at $2,500, John values it at $2,800. **John** wins the Computer.

### Step 4: Calculate cash settlements
To ensure fairness, we calculate how much cash Tina and John need to pay or receive based on the items they received compared to their fair share.

#### Tina's Total Value of Items Won:
- TV: $1,900
- Couch: $1,800
- Fridge: $4,000

Tina’s total value of items:
\[
1,900 + 1,800 + 4,000 = 7,700
\]

#### John's Total Value of Items Won:
- Computer: $2,800

#### Cash Settlement:
- Tina received items worth $7,700, but her fair share is $2,550. So she needs to pay the difference:
\[
7,700 - 2,550 = 5,150
\]
- John received an item worth $2,800, but his fair share is $2,350. He should receive the difference:
\[
2,350 - 2,800 = -450
\]
  Thus, Tina owes John $450 in cash.

### Final Outcome:
- Tina keeps the TV, Couch, and Fridge, and pays $450 to John.
- John keeps the Computer and receives $450 from Tina.

Let me know if you need further clarification or additional details!

### Questions for deeper understanding:
1. Why is the fair share calculated by dividing the total value by the number of items?
2. How would the division change if John won more items?
3. What is the significance of Tina’s cash settlement to John?
4. How would the process differ if both Tina and John valued an item equally?
5. How can this method be applied to real-world scenarios with multiple people?

### Tip:
Always calculate each person’s fair share first to ensure that the final allocation of cash and items is equitable.

Using the Sealed Bids method allocate the items to Tina and John. Determine the amount of cash and items each person receives.

Learn how to divide shared assets between Tina and John using the Sealed Bids method. The problem includes dividing a TV, Couch, Fridge, and Computer based on individual valuations and calculating fair shares and cash settlements.

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