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A polluting factory produces emissions whose damage (D) declines with distance. Robin works in, this factory. The damage to Robin is D (r) = 1000/r, where r is distance in kilometer from the firm and D is damage in rupees. His cost of commuting from the factory to home is 20 per km. (i) Write an expression for Robin's total cost. (ii) At what distance from the factory will Robin live? (If he wants to minimize his total cost.) (iii) At what distance from the factory will Robin live if he receives full compensation for the damage he incurs? The minimum distance from the factory where the Robin can live is 0.2 kilometers.

A polluting factory produces emissions whose damage (D) declines with distance. Robin works in, this factory. The damage to Robin is D (r) = 1000/r, where r is distance in kilometer from the firm and D is damage in rupees. His cost of commuting from the factory to home is 20 per km. (i) Write an expression for Robin's total cost. (ii) At what distance from the factory will Robin live? (If he wants to minimize his total cost.) (iii) At what distance from the factory will Robin live if he receives full compensation for the damage he incurs? The minimum distance from the factory where the Robin can live is 0.2 kilometers.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.7: Function Notation
Problem 44E
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A polluting factory produces emissions whose damage (D) declines with distance. Robin works in this factory. The damage to Robin is D (r) = 1000/r, where r is distance in kilometer from the firm and D is damage in rupees. His cost of commuting from the factory to home is 20 per km. (i) Write an expression for Robin's total cost. (ii) At what distance from the factory will Robin live? (If he wants to minimize his total cost.) (iii) At what distance from the factory will Robin live if he receives full compensation for the damage he incurs? The minimum distance from the factory where the Robin can live is 0.2 kilometers. (8)
Transcribed Image Text:A polluting factory produces emissions whose damage (D) declines with distance. Robin works in this factory. The damage to Robin is D (r) = 1000/r, where r is distance in kilometer from the firm and D is damage in rupees. His cost of commuting from the factory to home is 20 per km. (i) Write an expression for Robin's total cost. (ii) At what distance from the factory will Robin live? (If he wants to minimize his total cost.) (iii) At what distance from the factory will Robin live if he receives full compensation for the damage he incurs? The minimum distance from the factory where the Robin can live is 0.2 kilometers. (8)
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