1. **State the problem:** We need to find the total cost of the Hamilton circuit A, B, C, E, D, A using the given weighted graph. 2. **Recall the Hamilton circuit cost formula:** The total cost is the sum of the weights of the edges along the path. 3. **List the edges in the circuit A, B, C, E, D, A:** - A to B - B to C - C to E - E to D - D to A 4. **Substitute the given weights:** - A to B = 379 - B to C = 344 - C to E = 234 - E to D = 303 - D to A = 448 5. **Calculate the total cost:** $$\text{Total Cost} = 379 + 344 + 234 + 303 + 448$$ 6. **Perform the addition:** $$379 + 344 = 723$$ $$723 + 234 = 957$$ $$957 + 303 = 1260$$ $$1260 + 448 = 1708$$ 7. **Final answer:** The total cost for the Hamilton circuit A, B, C, E, D, A is **1708**.