76. Industrial costs A power plant sits next to a river where the river is 800 ft wide. To lay a new cable from the plant to a loca- tion in the city 2 mi downstream on the opposite side costs $180 per foot across the river and $100 per foot along the land. -2 mi- City 800 ft Power plant NOT TO SCALE a. Suppose that the cable goes from the plant to a point Q on the opposite side that is x ft from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the distance x. b. Generate a table of values to determine if the least expensive location for point Q is less than 2000 ft or greater than 2000 ft from point P.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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76. Industrial costs A power plant sits next to a river where the
river is 800 ft wide. To lay a new cable from the plant to a loca-
tion in the city 2 mi downstream on the opposite side costs $180
per foot across the river and $100 per foot along the land.
-2 mi-
City
800 ft
Power plant
NOT TO SCALE
a. Suppose that the cable goes from the plant to a point Q on the
opposite side that is x ft from the point P directly opposite
the plant. Write a function C(x) that gives the cost of laying
the cable in terms of the distance x.
b. Generate a table of values to determine if the least expensive
location for point Q is less than 2000 ft or greater than 2000
ft from point P.
Transcribed Image Text:76. Industrial costs A power plant sits next to a river where the river is 800 ft wide. To lay a new cable from the plant to a loca- tion in the city 2 mi downstream on the opposite side costs $180 per foot across the river and $100 per foot along the land. -2 mi- City 800 ft Power plant NOT TO SCALE a. Suppose that the cable goes from the plant to a point Q on the opposite side that is x ft from the point P directly opposite the plant. Write a function C(x) that gives the cost of laying the cable in terms of the distance x. b. Generate a table of values to determine if the least expensive location for point Q is less than 2000 ft or greater than 2000 ft from point P.
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