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An oil refinery is located on the north bank of a straight river that is 2...
An oil refinery is located 1 km north of the north bank of a straight river that is 3 km wide. A...
An oil refinery is located 1 km north of the north bank of a straight river that is 3 km wide. A pipeline is to be constructed from the refinery to storage tankslocated on the south bank of the river 9 km east of the refinery. The cost of laying pipe is $200,000 per km over land to a point P on the north bank and $400,000 perkm under the river to the tanks. To minimize the cost of the...
An oil refinery is located 1 km north of the north bank of a straight river that is 3 km wide
An oil refinery is located 1 km north of the north bank of a straight river that is 3 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 8 km east of the refinery. The cost of laying pipe is $500,000/km over land to a point P on the north bank and $1,000,000/km under the river to the tanks. To minimize the cost of the pipeline, how...
An Oil Rig is located a = 11 miles from a straight coastline. An Oil Refinery...
An Oil Rig is located a = 11 miles from a straight coastline. An Oil Refinery is located 16 miles down the coastline. The cost of putting in a pipeline from the Oil Rig to the Oil Refinery depends on whether it is on land or in the water. Rather than coming directly to the shoreline and then turning at a Right Angle, suppose that the Oil Pipeline met the shore at a point b = 5 miles from the...
An offshore oil well must be connected by pipe to the refinery. The oil-well is 2 km off-shore. The refinery is on the coast, 3 km from the nearest point of land to the oil well. The coastline is per...
An offshore oil well must be connected by pipe to the refinery. The oil-well is 2 km off-shore. The refinery is on the coast, 3 km from the nearest point of land to the oil well. The coastline is perfectly straight. It costs $ S per kilometre to lay pipe along the shore, but U times as much per km to lay pipe undenwater. The pipe may be laid either straight to the refinery, or to an intermediate point on...
There is an oil refinery located on a river. A fish farm is located in the...
There is an oil refinery located on a river. A fish farm is located in the bay, and is adversely affected by the oil refiner’s water pollution. More oil produces more pollution, and more pollution increases the fish farmer’s costs. The price for refining a barrel of crude oil is po = 200, and the price of a unit of fish is pf = 500. Let o and f represent the quantities of oil refined and fish produced by the...
A 260 -m-wide river has a uniform flow speed of 1.5 m/s through a jungle and...
A 260 -m-wide river has a uniform flow speed of 1.5 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 3.6 m/s with respect to the water. There is a clearing on the north bank 66 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative...
A 210 -m-wide river has a uniform flow speed of 0.72 m/s through a jungle and...
A 210 -m-wide river has a uniform flow speed of 0.72 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 6.0 m/s with respect to the water. There is a clearing on the north bank 71 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative...
A 330-m-wide river has a uniform flow speed of 1.1 m/s through a jungle and toward...
A 330-m-wide river has a uniform flow speed of 1.1 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 7.1 m/s with respect to the water. There isa clearing on the north bank 45 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative to the...
A 70 m wide river flows from north to south at a speed of 3.2 m/s....
A 70 m wide river flows from north to south at a speed of 3.2 m/s. A swimmer swims relative to the water at a rate of 4.6 m/s aiming across the river at an angle of 24 degrees north of east. What is the speed of the swimmer with respect to the shore? How far downstream (south), from a point directly across the river, does the swimmer hit the shore?
Suppose at one point along the Nile River a ferryboat must travel straight across a 1.08-mile...
Suppose at one point along the Nile River a ferryboat must travel straight across a 1.08-mile stretch from west to east. At this location, the river flows from south to north with a speed of 2.85 m/s. The ferryboat has a motor that can move the boat forward at a constant speed of 26.0 mph in still water. If the captain points the boat directly at the target location on the east bank of the river, how far downstream will...
An offshore oil well must be connected by pipe to the refinery. The oil-well is 2 km off-shore. The refinery is on the coast, 3 km from the nearest point of land to the oil well. The coastline is perfectly straight. It costs $ S per kilometre to lay pipe along the shore, but U times as much per km to lay pipe undenwater. The pipe may be laid either straight to the refinery, or to an intermediate point on...
A 330-m-wide river has a uniform flow speed of 1.1 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 7.1 m/s with respect to the water. There isa clearing on the north bank 45 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative to the...
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