Lowest Cost Airport-Island Ferry: Determine Optimal Route

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The distance from the airport to the island can be represented as a right triangle, with the hypotenuse being the direct distance between the two points. The legs of the triangle would then represent the distances traveled by land and sea. We can use the Pythagorean theorem to find the hypotenuse, which is √(5^2 + 3^2) = √34 miles. Next, we need to determine the cost of transportation for each leg of the journey. For the land portion, the cost would be 0.1 * 5 = 0.5 dollars/person. For the sea portion, the cost would be 0.12 * 3 = 0.36 dollars/person. To minimize
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kcarl
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a local travel provider ferries tourists from the airport located on the shorew of the mainland to an island located 5 miles down shore and 3 miles out to the sea. transporting tourists on land costs .1 dollars/mile/person while travel across water costs .12 dollars/mile/person. determine how far tourists should be transported on land and sea so that the total cost of transportation is a minimum.
 
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kcarl said:
a local travel provider ferries tourists from the airport located on the shorew of the mainland to an island located 5 miles down shore and 3 miles out to the sea. transporting tourists on land costs .1 dollars/mile/person while travel across water costs .12 dollars/mile/person. determine how far tourists should be transported on land and sea so that the total cost of transportation is a minimum.

Start by drawing a diagram.
 

FAQ: Lowest Cost Airport-Island Ferry: Determine Optimal Route

What is the purpose of determining the optimal route for a lowest cost airport-island ferry?

The purpose of determining the optimal route for a lowest cost airport-island ferry is to minimize the cost of transportation for passengers and goods between the airport and the island. This can help improve the efficiency and affordability of travel for individuals and businesses, and also benefit the local economy.

How is the optimal route for a lowest cost airport-island ferry determined?

The optimal route for a lowest cost airport-island ferry is determined through a combination of factors, including distance, fuel consumption, passenger demand, and potential docking fees. These variables are analyzed and weighed to calculate the most efficient and cost-effective route.

What are some potential challenges in determining the optimal route for a lowest cost airport-island ferry?

Some potential challenges in determining the optimal route for a lowest cost airport-island ferry may include fluctuating fuel prices, changing passenger demand, and unpredictable weather conditions. Additionally, obtaining accurate data for all relevant variables can also be a challenge.

How often should the optimal route for a lowest cost airport-island ferry be reassessed?

The optimal route for a lowest cost airport-island ferry should be reassessed periodically, especially if there are significant changes in any of the variables that were considered in the initial calculation. This could be on a monthly, quarterly, or annual basis, depending on the frequency of change in the relevant factors.

Are there any potential benefits of determining the optimal route for a lowest cost airport-island ferry besides cost savings?

Yes, there may be other potential benefits of determining the optimal route for a lowest cost airport-island ferry. These may include reducing travel time, improving the overall travel experience for passengers, and reducing carbon emissions and environmental impact by optimizing fuel consumption.

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