An oil company wishes to run a pipe from point A on the shore to point B on the island (see figure). The island is 5 miles from shore. It costs $1,000 per mile to run cable on land and $2,000 per mile underwater. Assume that the cable starts at point A and runs along the shoreline, then angles at point D and runs underwater to the island. If the total cost is represented by C(x) = 1000(8 - x) + 2000
x2 + 25
, find the total cost if seven miles of the pipe are underwater.
A) $11,005.58
B) $15,000.00
C) $15,266.55
D) $17,101.02