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A rock company uses five types of rocks to fill six orders. The phosphate content, availability of each type of rock, and the production cost

A rock company uses five types of rocks to fill six orders. The phosphate content, availability of each type of rock, and the production cost per pound for each rock are listed in the file P04_76.xlsx, as well as the size of each order and the minimum and maximum phosphate percentage in each order. What is the minimum total cost?

Rock orders
Rock type Cost/lb % phosphate Amount (lbs)
1 $1.00 2.0% 8000
2 $5.00 5.0% 6000
3 $5.50 4.5% 7000
4 $2.00 3.0% 4000
5 $1.20 6.0% 4500
Order 1 2 3 4 5 6
Size (lbs) 5000 6000 5000 3500 5500 3500
Min % phosphate 3.5% 3.8% 4.0% 3.6% 3.3% 3.7%
Max % phosphate 4.4% 4.6% 4.7% 4.8% 4.7% 4.8%

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