Timber Cost Afe031
1. **State the problem:** Calculate the absolute total cost of sawn timber per cubic meter and the relative total logistics cost rate as a percentage of the selling price.
2. **Find the inbound material flow cost per m³:**
$$\text{Inbound cost} = \frac{42 + 13 + 288 + 46 + 25}{45} = \frac{414}{45} = 9.2$$
3. **Find the storage cost per m³:**
$$\text{Storage cost} = 42 \times 0.0065 = 0.273$$
4. **Find the total log-related cost per m³:**
$$9.2 + 0.273 = 9.473$$
5. **Find the quantity of sawn timber based on yield:**
$$45 \times 0.56 = 25.2\ \text{m}^3$$
6. **Find the log-related total cost based on yield per m³:**
$$\frac{45 \times 9.473}{25.2} = \frac{426.285}{25.2} = 16.91$$
7. **Find the finished goods storage cost per m³:**
$$1.90 \times \frac{18}{30.4} = 1.90 \times 0.5921 = 1.125$$
8. **Find the finished goods warehousing cost per m³:**
$$178 \times 0.004 = 0.712$$
9. **Find the delivery order processing cost per m³:**
$$\frac{0.80}{13} = 0.0615$$
10. **Find the transport cost per m³:**
$$\frac{110 \times 0.80}{13} = \frac{88}{13} = 6.77$$
11. **Find the warehouse dispatching and loading cost per m³:**
$$1.20$$
12. **Find total logistics cost per m³:**
$$16.91 + 1.125 + 0.712 + 0.0615 + 6.77 + 1.20 = 26.78$$
13. **Find the relative total cost rate as a percentage of selling price:**
$$\frac{26.78}{178} \times 100 = 15.04\%$$
**Final answers:**
- Absolute total cost of sawn timber per cubic meter = **26.78**
- Relative total logistics cost rate = **15.04%**