HW#5.2010W.sol

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 AB C D E F G H I J K L n Question 1 (SMA 4.53) Mine data Production cost Ash content Sulfur content Capacity Mine 1 $50 0.08 0.05 120 tons Mine 2 $55 0.06 0.04 100 tons Mine 3 $62 0.04 0.03 140 tons Maximum % 0.06 0.035 Customer demands 5 marks total for input data Customer 1 Customer 2 Customer 3 Customer 4 ( 2 of these marks for Max % data ) Demand 80 70 60 40 tons Unit shipping costs Customer 1 Customer 2 Customer 3 Customer 4 Mine 1 $4 $6 $8 $12 Mine 2 $9 $6 $7 $11 Mine 3 $8 $12 $3 $5 Action Plan Model Model Customer 1 Customer 2 Customer 3 Customer 4 Output Requireme units Mine 1 15 0 0 0 15 <= 120 tons Mine 2 10 35 30 20 95 <= 100 tons Mine 3 55 35 30 20 140 <= 140 tons 6 marks total Supply 80 70 60 40 tons 1 mark for each of the 5 constraint >= >= >= >= 1 mark for units Demand 80 70 60 40 tons Customer 1 Customer 2 Customer 3 Customer 4 Ash Content 4 3.5 3 2 tons <= <= <= <= tons 2 marks Max Ash Content 4.8 4.2 3.6 2.4 tons Customer 1 Customer 2 Customer 3 Customer 4
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