Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $13,000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each of x day. The Horseshoe Mine costs $20,000/day to operate, and it yields 75 oz of gold and 1000 oz of silver each of y day. Company management has set a target of at least 650 oz of gold and 18,000 oz of silver. How many days should each mine be operated so that the target can be met at a minimum cost? (х, у) What is the minimum cost?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
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Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $13,000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each of x day.
The Horseshoe Mine costs $20,000/day to operate, and it yields 75 oz of gold and 1000 oz of silver each of y day. Company management has set a target of at least 650 oz of gold and 18,000 oz of
silver. How many days should each mine be operated so that the target can be met at a minimum cost?
(х, у)
What is the minimum cost?
Transcribed Image Text:Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $13,000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each of x day. The Horseshoe Mine costs $20,000/day to operate, and it yields 75 oz of gold and 1000 oz of silver each of y day. Company management has set a target of at least 650 oz of gold and 18,000 oz of silver. How many days should each mine be operated so that the target can be met at a minimum cost? (х, у) What is the minimum cost?
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