1. **Stating the problem:** We need to find the contribution value of each party (vessel, cargo A, cargo B, and freight at risk) based on the General Average sacrifices and expenditures.
2. **Formula and rules:** The contribution is calculated by the formula:
$$\text{Contribution} = \frac{\text{Value of each party}}{\text{Total value of all parties}} \times \text{Total General Average sacrifices and expenditures}$$
3. **Calculate total value of all parties:**
$$16,000,000 + 7,000,000 + 6,000,000 + 410,000 = 29,410,000$$
4. **Calculate total General Average sacrifices and expenditures:**
$$10,000 + 350,000 + 250,000 = 610,000$$
5. **Calculate contribution for each party:**
- Vessel:
$$\frac{16,000,000}{29,410,000} \times 610,000 = 331,847.11$$
- Cargo A:
$$\frac{7,000,000}{29,410,000} \times 610,000 = 145,198.60$$
- Cargo B:
$$\frac{6,000,000}{29,410,000} \times 610,000 = 124,512.51$$
- Freight at risk:
$$\frac{410,000}{29,410,000} \times 610,000 = 8,441.78$$
6. **Total contribution value:**
$$331,847.11 + 145,198.60 + 124,512.51 + 8,441.78 = 610,000$$
**Final answer:**
- Vessel contribution: 331,847.11
- Cargo A contribution: 145,198.60
- Cargo B contribution: 124,512.51
- Freight at risk contribution: 8,441.78
- Total contribution: 610,000
General Average A8Be67
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