Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $12,000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each of x day. The Horseshoe Mine costs $14,000/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? (x,y): what is the minimum cost?

Kaleigh Ayers

Kaleigh Ayers

Answered question

2022-09-05

Perth Mining Company operates two mines for the purpose of extracting gold and silver. The Saddle Mine costs $12,000/day to operate, and it yields 50 oz of gold and 3000 oz of silver each of x day. The Horseshoe Mine costs $14,000/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?
(x,y):
what is the minimum cost?

Answer & Explanation

Peyton Cox

Peyton Cox

Beginner2022-09-06Added 18 answers

no of days of saddle mine d1;
no of days of horse shoee mine d2;
cost = 12000d1+14000d2;
given 50d1+75d2=650;
3000d1+1000d2=18000;
d1=4; d2=6;
cost=132000;

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