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