The guild leader of an adventurer group decides to construct a rectangular wall around their base such that two opposite sides will be made using earth walls, while the remaining two sides will be made using ice walls. The magician consumes 20 mana when building a meter of earth wall, while 50 mana is consumed when building a meter of ice wall. If the magician can only use 70000 mana, what should be the dimensions of the rectangular wall to maximize the area enclosed?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The guild leader of an adventurer group decides to construct a rectangular wall around their base
such that two opposite sides will be made using earth walls, while the remaining two sides will be
made using ice walls. The magician consumes 20 mana when building a meter of earth wall, while
50 mana is consumed when building a meter of ice wall. If the magician can only use 70000 mana,
what should be the dimensions of the rectangular wall to maximize the area enclosed?
Transcribed Image Text:The guild leader of an adventurer group decides to construct a rectangular wall around their base such that two opposite sides will be made using earth walls, while the remaining two sides will be made using ice walls. The magician consumes 20 mana when building a meter of earth wall, while 50 mana is consumed when building a meter of ice wall. If the magician can only use 70000 mana, what should be the dimensions of the rectangular wall to maximize the area enclosed?
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