Final answer:
The cost of laying a new cable from the power plant to the city across the river and across the land is $2,602,000.
Step-by-step explanation:
To lay a new cable from the power plant to the city, we need to calculate the cost of laying the cable across the river and across the land.
The width of the river is given as 200 m. The cost of laying cable across the river is $5170 per meter and across the land is $560 per meter.
To find the total cost, we need to calculate the distance across the river and across the land. The total distance is given as 3 km, which is equal to 3000 m.
Therefore, the cost across the river would be 200 m * $5170 per meter = $1,034,000 and the cost across the land would be 2800 m * $560 per meter = $1,568,000.
The total cost would be $1,034,000 + $1,568,000 = $2,602,000.