an offshore oil well is 2 kilometers off the coast. the refinery is 4 kilometers down the coast. laying pipe in ocean is twice as expensive as layiing it on land.
what path should the pipe folow for the minimum cost?
i got 6-√3 km from the refinery .. help me whether its right or nt please!
No, that's incorrect. Can you show us how you set the problem up?
oh, sorry.. i got 7.47..
c= land path + ocean path
when dc/dx=0 , x=-1
is it right?
I would draw a diagram first:
represents the under ocean distance and represents the over land distance. Let represent the cost per unit length of the over land pipeline.
By Pythagoras we find:
We also know:
and so the cost function is:
This is the function you want to minimize. What do you find when you equate the derivative to zero?