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industrial costs A power plant is located near a river, where the river is 800 ft wide. Running a cable from the plant to a location in the city, 2 miles (mi) downstream on the opposite side, costs $ 180 per ft across the river and $ 100 per ft ashore along the riverbank .

a) Suppose the cable runs from the plant to point Q, on the opposite side, which is x ft from point P, directly opposite the plant. Write a function C (x) that indicates the cost of laying the cable in terms of the distance x.

b) Generate a table of values ​​to determine if the cheapest location for point Q is less than 2000 ft or greater than 2000 ft from point P.

I need help I have searched everywhere and nothing industrial costs A power plant-example-1
User Kirstin
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1 Answer

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Answer:

See attached

Explanation:

All answers in one graph, refer to attached

The function we need is

  • C(x) = 100(2*5280 - x) + 180
    √(800 +x^2), where 2*5280= 2 miles

Table included as well

The vertex is about x = 19 ft which corresponds the minimum cost

Any other value, including negative reveal greater cost

  • Note. there is a bit confusion over 2 miles or 2000 ft, but the graph is going to be same in shape and vertex for x, the value for cost will be different
I need help I have searched everywhere and nothing industrial costs A power plant-example-1
User Curlywei
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