OREY 1915.617554 0.000000
Scenario 1:
The factory is not bought, the yard is not taken into account for pollution, and new open hearth furnace is not installed.
MAX
! Selling price of all outputs sold
! less the operating costs of processes
! less the cost of raw material purchased
! add the energy credits
200IngotS + 350CoilS + 250SlabS
- 36.21Coke1 - 18.77Sinter2 - 57.82Pig3 - 52.88Steel4 - 28.1Steel5 - 4.56Ingot6 - 19.76Slab7 - 32.3Slab8 - 53.72Coil9 - 47.59CoalB - 36.2OreB - 191.1PigB - 98.48ScrapB
+ 1.86Coke1 + .16Pig3 + .06Steel4 + .13Steel5 + .34Ingot6 + 3.45Slab7 + .44Slab8 + .41Coil9
ST
! Capacity Constraints
Pig3 < 1404
Steel4 < 1740
Steel5 < 2700
Ingot6 < 3408
Slab8 < 720
Coil9 < 3480
! Pollution Constraint
.04CoalY+.589OreY+1.254Coke1+.777Sinter2+.474Pig3+.861Steel4+.505Steel5+.156Slab7 < 5163
! Input = Output
1.43Coke1-Coal1i=0
.52Sinter2-Ore2i=0
1.12Pig3-Ore3i=0
.65Pig3-Coke3i=0
.47Pig3-Sinter3i=0
.01Pig3-Scrap3=0
1.08Steel4-Scrap4i=0
.14Steel4-Pig4i=0
.02Steel4-Scrap4=0
.32Steel5-Scrap5i=0
.81Steel5-Pig5i=0
.02Steel5-Scrap5=0
1.02Ingot6-Steel6i=0
.02Ingot6-Scrap6=0
1.2Slab7-Ingot7i=0
.18Slab7-Scrap7=0
1.06Slab8-Steel8i=0
.04Slab8-Scrap8=0
1.04Coil9-Slab9i=0
.04Coil9-Scrap9=0
! Consumption = Production
Coal1i-CoalB-CoalY=0
Ore2i+Ore3i-OreB-OreY=0
Coke3i-Coke1=0
Sinter3i-Sinter2=0
Scrap4i+Scrap5i-Scrap3-Scrap4-Scrap5-Scrap6-Scrap7-Scrap8-Scrap9-ScrapB=0
Pig4i+Pig5i-Pig3-PigB=0
Steel6i+Steel8i-Steel4-Steel5=0
Ingot7i+IngotS-Ingot6=0
Slab9i+SlabS-Slab7-Slab8=0
CoilS-Coil9=0
LINDO Output:
OBJECTIVE FUNCTION VALUE
1) 240410.9
VARIABLE VALUE REDUCED COST
INGOTS 0.000000 36.853188
COILS 2327.844971 0.000000
SLABS 0.000000 39.066540
COKE1 740.213806 0.000000
SINTER2 535.231506 0.000000
PIG3 1138.790527 0.000000
STEEL4 1740.000000 0.000000
STEEL5 1105.173462 0.000000
INGOT6 2041.150391 0.000000
SLAB7 1700.958618 0.000000
SLAB8 720.000000 0.000000
COIL9 2327.844971 0.000000
COALB 0.000000 45.985100
OREB 0.000000 12.567831
PIGB 0.000000 3.165618
SCRAPB 1695.654785 0.000000
COALY 1058.505737 0.000000
OREY 1553.765747 0.000000
COAL1I 1058.505737 0.000000
ORE2I 278.320404 0.000000
ORE3I 1275.445312 0.000000
COKE3I 740.213806 0.000000
SINTER3I 535.231506 0.000000
SCRAP3 11.387905 0.000000
SCRAP4I 1879.199951 0.000000
PIG4I 243.600006 0.000000
SCRAP4 34.799999 0.000000
SCRAP5I 353.655487 0.000000
PIG5I 895.190491 0.000000
SCRAP5 22.103468 0.000000
STEEL6I 2081.973389 0.000000
SCRAP6 40.823009 0.000000
INGOT7I 2041.150391 0.000000
SCRAP7 306.172546 0.000000
STEEL8I 763.200012 0.000000
SCRAP8 28.799999 0.000000
SLAB9I 2420.958740 0.000000
SCRAP9 93.113792 0.000000
Scenario 2:
The factory is not bought, the yard is taken into account for pollution, and new open hearth furnace is not installed.
MAX
! Selling price of all outputs sold
! less the operating costs of processes
! less the cost of raw material purchased
! add the energy credits
200IngotS + 350CoilS + 250SlabS
- 36.21Coke1 - 18.77Sinter2 - 57.82Pig3 - 52.88Steel4 - 28.1Steel5 - 4.56Ingot6 - 19.76Slab7 - 32.3Slab8 - 53.72Coil9 - 47.59CoalB - 36.2OreB - 191.1PigB - 98.48ScrapB
+ 1.86Coke1 + .16Pig3 + .06Steel4 + .13Steel5 + .34Ingot6 + 3.45Slab7 + .44Slab8 + .41Coil9
ST
! Capacity Constraints
Pig3 < 1404
Steel4 < 1740
Steel5 < 2700
Ingot6 < 3408
Slab8 < 720
Coil9 < 3480
! Pollution Constraint
.04CoalY+.589OreY+1.254Coke1+.777Sinter2+.474Pig3+.861Steel4+.505Steel5+.156Slab7 < 6263
! Input = Output
1.43Coke1-Coal1i=0
.52Sinter2-Ore2i=0
1.12Pig3-Ore3i=0
.65Pig3-Coke3i=0
.47Pig3-Sinter3i=0
.01Pig3-Scrap3=0
1.08Steel4-Scrap4i=0
.14Steel4-Pig4i=0
.02Steel4-Scrap4=0
.32Steel5-Scrap5i=0
.81Steel5-Pig5i=0
.02Steel5-Scrap5=0
1.02Ingot6-Steel6i=0
.02Ingot6-Scrap6=0
1.2Slab7-Ingot7i=0
.18Slab7-Scrap7=0
1.06Slab8-Steel8i=0
.04Slab8-Scrap8=0 !
1.04Coil9-Slab9i=0
.04Coil9-Scrap9=0
! Consumption = Production
Coal1i-CoalB-CoalY=0
Ore2i+Ore3i-OreB-OreY=0
Coke3i-Coke1=0
Sinter3i-Sinter2=0
Scrap4i+Scrap5i-Scrap3-Scrap4-Scrap5-Scrap6-Scrap7-Scrap8-Scrap9-ScrapB=0
Pig4i+Pig5i-Pig3-PigB=0
Steel6i+Steel8i-Steel4-Steel5=0
Ingot7i+IngotS-Ingot6=0
Slab9i+SlabS-Slab7-Slab8=0
CoilS-Coil9=0
LINDO Output:
OBJECTIVE FUNCTION VALUE
1) 283608.4
VARIABLE VALUE REDUCED COST
INGOTS 0.000000 37.380245
COILS 2872.228760 0.000000
SLABS 0.000000 39.066540
COKE1 912.599976 0.000000
SINTER2 659.880005 0.000000
PIG3 1404.000000 0.000000
STEEL4 1740.000000 0.000000
STEEL5 1798.152466 0.000000
INGOT6 2720.541748 0.000000
SLAB7 2267.117920 0.000000
SLAB8 720.000000 0.000000
COIL9 2872.228760 0.000000
COALB 0.000000 46.147270
OREB 0.000000 14.955813
PIGB 296.103485 0.000000
SCRAPB 1763.624512 0.000000
COALY 1305.017944 0.000000
OREY 1915.617554 0.000000
COAL1I 1305.017944 0.000000
ORE2I 343.137604 0.000000
ORE3I 1572.479980 0.000000
COKE3I 912.599976 0.000000
SINTER3I 659.880005 0.000000
SCRAP3 14.040000 0.000000
SCRAP4I 1879.199951 0.000000
PIG4I 243.600006 0.000000
SCRAP4 34.799999 0.000000
SCRAP5I 575.408813 0.000000
PIG5I 1456.503540 0.000000
SCRAP5 35.963051 0.000000
STEEL6I 2774.952393 0.000000
SCRAP6 54.410831 0.000000
INGOT7I 2720.541748 0.000000
SCRAP7 408.081238 0.000000
STEEL8I 763.200012 0.000000
SCRAP8 28.799999 0.000000
SLAB9I 2987.117920 0.000000
SCRAP9 114.889153 0.000000
Scenario 3:
No Factory bought, Yard not taken into account for pollution, and new open hearth furnace installed.
MAX
! Selling price of all outputs sold
! less the operating costs of processes
! less the cost of raw material purchased
! add the energy credits
200IngotS + 350CoilS + 250SlabS
- 36.21Coke1 - 18.77Sinter2 - 57.82Pig3 - 47.88Steel4 - 28.1Steel5 - 4.56Ingot6 - 19.76Slab7 - 32.3Slab8 - 53.72Coil9 - 47.59CoalB - 36.2OreB - 191.1PigB - 98.48ScrapB
+ 1.86Coke1 + .16Pig3 + .06Steel4 + .13Steel5 + .34Ingot6 + 3.45Slab7 + .44Slab8 + .41Coil9
ST
! Capacity Constraints
Pig3 < 1404
Steel4 < 1740
Steel5 < 2700
Ingot6 < 3408
Slab8 < 720
Coil9 < 3480
! Pollution Constraint
.04CoalY+.589OreY+1.254Coke1+.777Sinter2+.474Pig3+.795Steel4+.505Steel5+.156Slab7 < 5163
! Input = Output
1.43Coke1-Coal1i=0
.52Sinter2-Ore2i=0
1.12Pig3-Ore3i=0
.65Pig3-Coke3i=0
.47Pig3-Sinter3i=0
.01Pig3-Scrap3=0
.95Steel4-Scrap4i=0
.25Steel4-Pig4i=0
.02Steel4-Scrap4=0
.32Steel5-Scrap5i=0
.81Steel5-Pig5i=0
.02Steel5-Scrap5=0
1.02Ingot6-Steel6i=0
.02Ingot6-Scrap6=0
1.2Slab7-Ingot7i=0
.18Slab7-Scrap7=0
1.06Slab8-Steel8i=0
.04Slab8-Scrap8=0 !
1.04Coil9-Slab9i=0
.04Coil9-Scrap9=0
! Consumption = Production
Coal1i-CoalB-CoalY=0
Ore2i+Ore3i-OreB-OreY=0
Coke3i-Coke1=0
Sinter3i-Sinter2=0
Scrap4i+Scrap5i-Scrap3-Scrap4-Scrap5-Scrap6-Scrap7-Scrap8-Scrap9-ScrapB=0
Pig4i+Pig5i-Pig3-PigB=0
Steel6i+Steel8i-Steel4-Steel5=0
Ingot7i+IngotS-Ingot6=0
Slab9i+SlabS-Slab7-Slab8=0
CoilS-Coil9=0
LINDO Output:
OBJECTIVE FUNCTION VALUE
1) 240024.1
VARIABLE VALUE REDUCED COST
INGOTS 0.000000 36.853188
COILS 2220.459961 0.000000
SLABS 0.000000 39.066540
COKE1 792.652954 0.000000
SINTER2 573.149048 0.000000
PIG3 1219.466064 0.000000
STEEL4 1740.000000 0.000000
STEEL5 968.476685 0.000000
INGOT6 1907.134033 0.000000
SLAB7 1589.278320 0.000000
SLAB8 720.000000 0.000000
COIL9 2220.459961 0.000000
COALB 0.000000 45.985100
OREB 0.000000 12.567831
PIGB 0.000000 3.165618
SCRAPB 1454.717163 0.000000
COALY 1133.493774 0.000000
OREY 1663.839600 0.000000
COAL1I 1133.493774 0.000000
ORE2I 298.037506 0.000000
ORE3I 1365.802002 0.000000
COKE3I 792.652954 0.000000
SINTER3I 573.149048 0.000000
SCRAP3 12.194661 0.000000
SCRAP4I 1653.000000 0.000000
PIG4I 435.000000 0.000000
SCRAP4 34.799999 0.000000
SCRAP5I 309.912537 0.000000
PIG5I 784.466125 0.000000
SCRAP5 19.369534 0.000000
STEEL6I 1945.276733 0.000000
SCRAP6 38.142681 0.000000
INGOT7I 1907.134033 0.000000
SCRAP7 286.070099 0.000000
STEEL8I 763.200012 0.000000
SCRAP8 28.799999 0.000000
SLAB9I 2309.278320 0.000000
SCRAP9 88.818398 0.000000
Scenario 4:
No Factory bought, Yard taken into account for pollution, and new open hearth furnace installed
MAX
! Selling price of all outputs sold
! less the operating costs of processes
! less the cost of raw material purchased
! add the energy credits
200IngotS + 350CoilS + 250SlabS
- 36.21Coke1 - 18.77Sinter2 - 57.82Pig3 - 47.88Steel4 - 28.1Steel5 - 4.56Ingot6 - 19.76Slab7 - 32.3Slab8 - 53.72Coil9 - 47.59CoalB - 36.2OreB - 191.1PigB - 98.48ScrapB
+ 1.86Coke1 + .16Pig3 + .06Steel4 + .13Steel5 + .34Ingot6 + 3.45Slab7 + .44Slab8 + .41Coil9
ST
! Capacity Constraints
Pig3 < 1404
Steel4 < 1740
Steel5 < 2700
Ingot6 < 3408
Slab8 < 720
Coil9 < 3480
! Pollution Constraint
.04CoalY+.589OreY+1.254Coke1+.777Sinter2+.474Pig3+.795Steel4+.505Steel5+.156Slab7 < 6263
! Input = Output
1.43Coke1-Coal1i=0
.52Sinter2-Ore2i=0
1.12Pig3-Ore3i=0
.65Pig3-Coke3i=0
.47Pig3-Sinter3i=0
.01Pig3-Scrap3=0
.95Steel4-Scrap4i=0
.25Steel4-Pig4i=0
.02Steel4-Scrap4=0
.32Steel5-Scrap5i=0
.81Steel5-Pig5i=0
.02Steel5-Scrap5=0
1.02Ingot6-Steel6i=0
.02Ingot6-Scrap6=0
1.2Slab7-Ingot7i=0
.18Slab7-Scrap7=0
1.06Slab8-Steel8i=0
.04Slab8-Scrap8=0 !
1.04Coil9-Slab9i=0
.04Coil9-Scrap9=0
! Consumption = Production
Coal1i-CoalB-CoalY=0
Ore2i+Ore3i-OreB-OreY=0
Coke3i-Coke1=0
Sinter3i-Sinter2=0
Scrap4i+Scrap5i-Scrap3-Scrap4-Scrap5-Scrap6-Scrap7-Scrap8-Scrap9-ScrapB=0
Pig4i+Pig5i-Pig3-PigB=0
Steel6i+Steel8i-Steel4-Steel5=0
Ingot7i+IngotS-Ingot6=0
Slab9i+SlabS-Slab7-Slab8=0
CoilS-Coil9=0
LINDO Output:
OBJECTIVE FUNCTION VALUE
1) 282150.1
VARIABLE VALUE REDUCED COST
INGOTS 0.000000 37.380245
COILS 3014.872314 0.000000
SLABS 0.000000 39.066540
COKE1 912.599976 0.000000
SINTER2 659.880005 0.000000
PIG3 1404.000000 0.000000
STEEL4 1740.000000 0.000000
STEEL5 1979.731689 0.000000
INGOT6 2898.560547 0.000000
SLAB7 2415.467041 0.000000
SLAB8 720.000000 0.000000
COIL9 3014.872314 0.000000
COALB 0.000000 46.147270
OREB 0.000000 14.955813
PIGB 634.582703 0.000000
SCRAPB 1555.929321 0.000000
COALY 1305.017944 0.000000
OREY 1915.617554 0.000000
COAL1I 1305.017944 0.000000
ORE2I 343.137604 0.000000
ORE3I 1572.479980 0.000000
COKE3I 912.599976 0.000000
SINTER3I 659.880005 0.000000
SCRAP3 14.040000 0.000000
SCRAP4I 1653.000000 0.000000
PIG4I 435.000000 0.000000
SCRAP4 34.799999 0.000000
SCRAP5I 633.514160 0.000000
PIG5I 1603.582642 0.000000
SCRAP5 39.594635 0.000000
STEEL6I 2956.531738 0.000000
SCRAP6 57.971210 0.000000
INGOT7I 2898.560547 0.000000
SCRAP7 434.784088 0.000000
STEEL8I 763.200012 0.000000
SCRAP8 28.799999 0.000000
SLAB9I 3135.467041 0.000000
SCRAP9 120.594887 0.000000
Scenario 5:
Factory bought, Yard not taken into account for pollution, and new open hearth furnace not installed
MAX
! Selling price of all outputs sold
! less the operating costs of processes
! less the cost of raw material purchased
! add the energy credits
200IngotS + 350CoilS + 250SlabS
- 36.21Coke1 - 18.77Sinter2 - 57.82Pig3 - 52.88Steel4 - 28.1Steel5 - 4.56Ingot6 - 19.76Slab7 - 32.3Slab8 - 53.72Coil9 - 47.59CoalB - 36.2OreB - 191.1PigB - 98.48ScrapB
+ 1.86Coke1 + .16Pig3 + .06Steel4 + .13Steel5 + .34Ingot6 + 3.45Slab7 + .44Slab8 + .41Coil9 -750
ST
! Capacity Constraints
Pig3 < 1404
Steel4 < 1740
Steel5 < 2700
Ingot6 < 3408
Slab8 < 720
Coil9 < 3480
! Pollution Constraint
.04CoalY+.589OreY+1.254Coke1+.777Sinter2+.474Pig3+.861Steel4+.505Steel5+.156Slab7 < 5413
! Input = Output
1.43Coke1-Coal1i=0
.52Sinter2-Ore2i=0
1.12Pig3-Ore3i=0
.65Pig3-Coke3i=0
.47Pig3-Sinter3i=0
.01Pig3-Scrap3=0
1.08Steel4-Scrap4i=0
.14Steel4-Pig4i=0
.02Steel4-Scrap4=0
.32Steel5-Scrap5i=0
.81Steel5-Pig5i=0
.02Steel5-Scrap5=0
1.02Ingot6-Steel6i=0
.02Ingot6-Scrap6=0
1.2Slab7-Ingot7i=0
.18Slab7-Scrap7=0
1.06Slab8-Steel8i=0
.04Slab8-Scrap8=0 !
1.04Coil9-Slab9i=0
.04Coil9-Scrap9=0
! Consumption = Production
Coal1i-CoalB-CoalY=0
Ore2i+Ore3i-OreB-OreY=0
Coke3i-Coke1=0
Sinter3i-Sinter2=0
Scrap4i+Scrap5i-Scrap3-Scrap4-Scrap5-Scrap6-Scrap7-Scrap8-Scrap9-ScrapB=0
Pig4i+Pig5i-Pig3-PigB=0
Steel6i+Steel8i-Steel4-Steel5=0
Ingot7i+IngotS-Ingot6=0
Slab9i+SlabS-Slab7-Slab8=0
CoilS-Coil9=0
LINDO Output:
OBJECTIVE FUNCTION VALUE
1) 250441.6 – 750 = 249691.6
VARIABLE VALUE REDUCED COST
INGOTS 0.000000 36.853188
COILS 2401.857910 0.000000
SLABS 0.000000 39.066540
COKE1 789.818420 0.000000
SINTER2 571.099487 0.000000
PIG3 1215.105225 0.000000
STEEL4 1740.000000 0.000000
STEEL5 1199.389160 0.000000
INGOT6 2133.518799 0.000000
SLAB7 1777.932373 0.000000
SLAB8 720.000000 0.000000
COIL9 2401.857910 0.000000
COALB 0.000000 45.985100
OREB 0.000000 12.567831
PIGB 0.000000 3.165618
SCRAPB 1704.493164 0.000000
COALY 1129.440308 0.000000
OREY 1657.889648 0.000000
COAL1I 1129.440308 0.000000
ORE2I 296.971710 0.000000
ORE3I 1360.917847 0.000000
COKE3I 789.818420 0.000000
SINTER3I 571.099487 0.000000
SCRAP3 12.151052 0.000000
SCRAP4I 1879.199951 0.000000
PIG4I 243.600006 0.000000
SCRAP4 34.799999 0.000000
SCRAP5I 383.804535 0.000000
PIG5I 971.505249 0.000000
SCRAP5 23.987783 0.000000
STEEL6I 2176.189209 0.000000
SCRAP6 42.670376 0.000000
INGOT7I 2133.518799 0.000000
SCRAP7 320.027832 0.000000
STEEL8I 763.200012 0.000000
SCRAP8 28.799999 0.000000
SLAB9I 2497.932373 0.000000
SCRAP9 96.074318 0.000000
Scenario 6:
Factory bought, Yard taken into account for pollution, and new open hearth furnace not installed
MAX
! Selling price of all outputs sold
! less the operating costs of processes
! less the cost of raw material purchased
! add the energy credits
200IngotS + 350CoilS + 250SlabS
- 36.21Coke1 - 18.77Sinter2 - 57.82Pig3 - 52.88Steel4 - 28.1Steel5 - 4.56Ingot6 - 19.76Slab7 - 32.3Slab8 - 53.72Coil9 - 47.59CoalB - 36.2OreB - 191.1PigB - 98.48ScrapB
+ 1.86Coke1 + .16Pig3 + .06Steel4 + .13Steel5 + .34Ingot6 + 3.45Slab7 + .44Slab8 + .41Coil9-750
ST
! Capacity Constraints
Pig3 < 1404
Steel4 < 1740
Steel5 < 2700
Ingot6 < 3408
Slab8 < 720
Coil9 < 3480
! Pollution Constraint
.04CoalY+.589OreY+1.254Coke1+.777Sinter2+.474Pig3+.861Steel4+.505Steel5+.156Slab7 < 6513
! Input = Output
1.43Coke1-Coal1i=0
.52Sinter2-Ore2i=0
1.12Pig3-Ore3i=0
.65Pig3-Coke3i=0
.47Pig3-Sinter3i=0
.01Pig3-Scrap3=0
1.08Steel4-Scrap4i=0
.14Steel4-Pig4i=0
.02Steel4-Scrap4=0
.32Steel5-Scrap5i=0
.81Steel5-Pig5i=0
.02Steel5-Scrap5=0
1.02Ingot6-Steel6i=0
.02Ingot6-Scrap6=0
1.2Slab7-Ingot7i=0
.18Slab7-Scrap7=0
1.06Slab8-Steel8i=0
.04Slab8-Scrap8=0 !
1.04Coil9-Slab9i=0
.04Coil9-Scrap9=0
! Consumption = Production
Coal1i-CoalB-CoalY=0
Ore2i+Ore3i-OreB-OreY=0
Coke3i-Coke1=0
Sinter3i-Sinter2=0
Scrap4i+Scrap5i-Scrap3-Scrap4-Scrap5-Scrap6-Scrap7-Scrap8-Scrap9-ScrapB=0
Pig4i+Pig5i-Pig3-PigB=0
Steel6i+Steel8i-Steel4-Steel5=0
Ingot7i+IngotS-Ingot6=0
Slab9i+SlabS-Slab7-Slab8=0
CoilS-Coil9=0
LINDO Output:
OBJECTIVE FUNCTION VALUE
1) 292625.4 – 750 = 291875.4
VARIABLE VALUE REDUCED COST
INGOTS 0.000000 37.380245
COILS 3182.755127 0.000000
SLABS 0.000000 39.066540
COKE1 912.599976 0.000000
SINTER2 659.880005 0.000000
PIG3 1404.000000 0.000000
STEEL4 1740.000000 0.000000
STEEL5 2193.439941 0.000000
INGOT6 3108.078369 0.000000
SLAB7 2590.065430 0.000000
SLAB8 720.000000 0.000000
COIL9 3182.755127 0.000000
COALB 0.000000 46.147270
OREB 0.000000 14.955813
PIGB 616.286438 0.000000
SCRAPB 1803.908447 0.000000
COALY 1305.017944 0.000000
OREY 1915.617554 0.000000
COAL1I 1305.017944 0.000000
ORE2I 343.137604 0.000000
ORE3I 1572.479980 0.000000
COKE3I 912.599976 0.000000
SINTER3I 659.880005 0.000000
SCRAP3 14.040000 0.000000
SCRAP4I 1879.199951 0.000000
PIG4I 243.600006 0.000000
SCRAP4 34.799999 0.000000
SCRAP5I 701.900818 0.000000
PIG5I 1776.686401 0.000000
SCRAP5 43.868801 0.000000
STEEL6I 3170.239990 0.000000
SCRAP6 62.161568 0.000000
INGOT7I 3108.078369 0.000000
SCRAP7 466.211761 0.000000
STEEL8I 763.200012 0.000000
SCRAP8 28.799999 0.000000
SLAB9I 3310.065430 0.000000
SCRAP9 127.310204 0.000000
Scenario 7:
Factory bought, Yard not taken into account for pollution, and new open hearth furnace installed
MAX
! Selling price of all outputs sold
! less the operating costs of processes
! less the cost of raw material purchased
! add the energy credits
200IngotS + 350CoilS + 250SlabS
- 36.21Coke1 - 18.77Sinter2 - 57.82Pig3 - 47.88Steel4 - 28.1Steel5 - 4.56Ingot6 - 19.76Slab7 - 32.3Slab8 - 53.72Coil9 - 47.59CoalB - 36.2OreB - 191.1PigB - 98.48ScrapB
+ 1.86Coke1 + .16Pig3 + .06Steel4 + .13Steel5 + .34Ingot6 + 3.45Slab7 + .44Slab8 + .41Coil9 -750
ST
! Capacity Constraints
Pig3 < 1404
Steel4 < 1740
Steel5 < 2700
Ingot6 < 3408
Slab8 < 720
Coil9 < 3480
! Pollution Constraint
.04CoalY+.589OreY+1.254Coke1+.777Sinter2+.474Pig3+.795Steel4+.505Steel5+.156Slab7 < 5413
! Input = Output
1.43Coke1-Coal1i=0
.52Sinter2-Ore2i=0
1.12Pig3-Ore3i=0
.65Pig3-Coke3i=0
.47Pig3-Sinter3i=0
.01Pig3-Scrap3=0
.95Steel4-Scrap4i=0
.25Steel4-Pig4i=0
.02Steel4-Scrap4=0
.32Steel5-Scrap5i=0
.81Steel5-Pig5i=0
.02Steel5-Scrap5=0
1.02Ingot6-Steel6i=0
.02Ingot6-Scrap6=0
1.2Slab7-Ingot7i=0
.18Slab7-Scrap7=0
1.06Slab8-Steel8i=0
.04Slab8-Scrap8=0 !
1.04Coil9-Slab9i=0
.04Coil9-Scrap9=0
! Consumption = Production
Coal1i-CoalB-CoalY=0
Ore2i+Ore3i-OreB-OreY=0
Coke3i-Coke1=0
Sinter3i-Sinter2=0
Scrap4i+Scrap5i-Scrap3-Scrap4-Scrap5-Scrap6-Scrap7-Scrap8-Scrap9-ScrapB=0
Pig4i+Pig5i-Pig3-PigB=0
Steel6i+Steel8i-Steel4-Steel5=0
Ingot7i+IngotS-Ingot6=0
Slab9i+SlabS-Slab7-Slab8=0
CoilS-Coil9=0
LINDO Output:
OBJECTIVE FUNCTION VALUE
1) 250054.8 – 750 = 249304.8
VARIABLE VALUE REDUCED COST
INGOTS 0.000000 36.853188
COILS 2294.473145 0.000000
SLABS 0.000000 39.066540
COKE1 842.257568 0.000000
SINTER2 609.017029 0.000000
PIG3 1295.780884 0.000000
STEEL4 1740.000000 0.000000
STEEL5 1062.692505 0.000000
INGOT6 1999.502441 0.000000
SLAB7 1666.252075 0.000000
SLAB8 720.000000 0.000000
COIL9 2294.473145 0.000000
COALB 0.000000 45.985100
OREB 0.000000 12.567831
PIGB 0.000000 3.165618
SCRAPB 1463.555542 0.000000
COALY 1204.428345 0.000000
OREY 1767.963501 0.000000
COAL1I 1204.428345 0.000000
ORE2I 316.688843 0.000000
ORE3I 1451.274658 0.000000
COKE3I 842.257568 0.000000
SINTER3I 609.017029 0.000000
SCRAP3 12.957809 0.000000
SCRAP4I 1653.000000 0.000000
PIG4I 435.000000 0.000000
SCRAP4 34.799999 0.000000
SCRAP5I 340.061584 0.000000
PIG5I 860.780884 0.000000
SCRAP5 21.253849 0.000000
STEEL6I 2039.492432 0.000000
SCRAP6 39.990047 0.000000
INGOT7I 1999.502441 0.000000
SCRAP7 299.925354 0.000000
STEEL8I 763.200012 0.000000
SCRAP8 28.799999 0.000000
SLAB9I 2386.251953 0.000000
SCRAP9 91.778923 0.000000
Scenario 8:
Factory bought, Yard taken into account for pollution, and new open hearth furnace installed
MAX
! Selling price of all outputs sold
! less the operating costs of processes
! less the cost of raw material purchased
! add the energy credits
200IngotS + 350CoilS + 250SlabS
- 36.21Coke1 - 18.77Sinter2 - 57.82Pig3 - 47.88Steel4 - 28.1Steel5 - 4.56Ingot6 - 19.76Slab7 - 32.3Slab8 - 53.72Coil9 - 47.59CoalB - 36.2OreB - 191.1PigB - 98.48ScrapB
+ 1.86Coke1 + .16Pig3 + .06Steel4 + .13Steel5 + .34Ingot6 + 3.45Slab7 + .44Slab8 + .41Coil9 -750
ST
! Capacity Constraints
Pig3 < 1404
Steel4 < 1740
Steel5 < 2700
Ingot6 < 3408
Slab8 < 720
Coil9 < 3480
! Pollution Constraint
.04CoalY+.589OreY+1.254Coke1+.777Sinter2+.474Pig3+.795Steel4+.505Steel5+.156Slab7 < 6513
! Input = Output
1.43Coke1-Coal1i=0
.52Sinter2-Ore2i=0
1.12Pig3-Ore3i=0
.65Pig3-Coke3i=0
.47Pig3-Sinter3i=0
.01Pig3-Scrap3=0
.95Steel4-Scrap4i=0
.25Steel4-Pig4i=0
.02Steel4-Scrap4=0
.32Steel5-Scrap5i=0
.81Steel5-Pig5i=0
.02Steel5-Scrap5=0
1.02Ingot6-Steel6i=0
.02Ingot6-Scrap6=0
1.2Slab7-Ingot7i=0
.18Slab7-Scrap7=0
1.06Slab8-Steel8i=0
.04Slab8-Scrap8=0 !
1.04Coil9-Slab9i=0
.04Coil9-Scrap9=0
! Consumption = Production
Coal1i-CoalB-CoalY=0
Ore2i+Ore3i-OreB-OreY=0
Coke3i-Coke1=0
Sinter3i-Sinter2=0
Scrap4i+Scrap5i-Scrap3-Scrap4-Scrap5-Scrap6-Scrap7-Scrap8-Scrap9-ScrapB=0
Pig4i+Pig5i-Pig3-PigB=0
Steel6i+Steel8i-Steel4-Steel5=0
Ingot7i+IngotS-Ingot6=0
Slab9i+SlabS-Slab7-Slab8=0
CoilS-Coil9=0
LINDO Output:
OBJECTIVE FUNCTION VALUE
1) 291167.1 – 750 = 290417.1
VARIABLE VALUE REDUCED COST
INGOTS 0.000000 37.380245
COILS 3325.398438 0.000000
SLABS 0.000000 39.066540
COKE1 912.599976 0.000000
SINTER2 659.880005 0.000000
PIG3 1404.000000 0.000000
STEEL4 1740.000000 0.000000
STEEL5 2375.019287 0.000000
INGOT6 3286.097412 0.000000
SLAB7 2738.414551 0.000000
SLAB8 720.000000 0.000000
COIL9 3325.398438 0.000000
COALB 0.000000 46.147270
OREB 0.000000 14.955813
PIGB 954.765625 0.000000
SCRAPB 1596.213257 0.000000
COALY 1305.017944 0.000000
OREY 1915.617554 0.000000
COAL1I 1305.017944 0.000000
ORE2I 343.137604 0.000000
ORE3I 1572.479980 0.000000
COKE3I 912.599976 0.000000
SINTER3I 659.880005 0.000000
SCRAP3 14.040000 0.000000
SCRAP4I 1653.000000 0.000000
PIG4I 435.000000 0.000000
SCRAP4 34.799999 0.000000
SCRAP5I 760.006165 0.000000
PIG5I 1923.765625 0.000000
SCRAP5 47.500385 0.000000
STEEL6I 3351.819336 0.000000
SCRAP6 65.721947 0.000000
INGOT7I 3286.097412 0.000000
SCRAP7 492.914612 0.000000
STEEL8I 763.200012 0.000000
SCRAP8 28.799999 0.000000
SLAB9I 3458.414551 0.000000
SCRAP9 133.015945 0.000000
Scenario 9:
Stack-by-stack approach, which would require 9 million additional expense, with production being at earlier levels.
MAX
! Selling price of all outputs sold
! less the operating costs of processes
! less the cost of raw material purchased
! add the energy credits
200IngotS + 350CoilS + 250SlabS
- 36.21Coke1 - 18.77Sinter2 - 57.82Pig3 - 52.88Steel4 - 28.1Steel5 - 4.56Ingot6 - 19.76Slab7 - 32.3Slab8 - 53.72Coil9 - 47.59CoalB - 36.2OreB - 191.1PigB - 98.48ScrapB
+ 1.86Coke1 + .16Pig3 + .06Steel4 + .13Steel5 + .34Ingot6 + 3.45Slab7 + .44Slab8 + .41Coil9 -9000
ST
! Capacity Constraints
Pig3 < 1404
Steel4 < 1740
Steel5 < 2700
Ingot6 < 3408
Slab8 < 720
Coil9 < 3480
! Input = Output
1.43Coke1-Coal1i=0
.52Sinter2-Ore2i=0
1.12Pig3-Ore3i=0
.65Pig3-Coke3i=0
.47Pig3-Sinter3i=0
.01Pig3-Scrap3=0
1.08Steel4-Scrap4i=0
.14Steel4-Pig4i=0
.02Steel4-Scrap4=0
.32Steel5-Scrap5i=0
.81Steel5-Pig5i=0
.02Steel5-Scrap5=0
1.02Ingot6-Steel6i=0
.02Ingot6-Scrap6=0
1.2Slab7-Ingot7i=0
.18Slab7-Scrap7=0
1.06Slab8-Steel8i=0
.04Slab8-Scrap8=0 !
1.04Coil9-Slab9i=0
.04Coil9-Scrap9=0
! Consumption = Production
Coal1i-CoalB-CoalY=0
Ore2i+Ore3i-OreB-OreY=0
Coke3i-Coke1=0
Sinter3i-Sinter2=0
Scrap4i+Scrap5i-Scrap3-Scrap4-Scrap5-Scrap6-Scrap7-Scrap8-Scrap9-ScrapB=0
Pig4i+Pig5i-Pig3-PigB=0
Steel6i+Steel8i-Steel4-Steel5=0
Ingot7i+IngotS-Ingot6=0
Slab9i+SlabS-Slab7-Slab8=0
CoilS-Coil9=0
LINDO Output:
OBJECTIVE FUNCTION VALUE
1) 299603.9 – 9000 = 290603.9
VARIABLE VALUE REDUCED COST
INGOTS 0.000000 42.069115
COILS 3423.076904 0.000000
SLABS 0.000000 39.066540
COKE1 912.599976 0.000000
SINTER2 659.880005 0.000000
PIG3 1404.000000 0.000000
STEEL4 1740.000000 0.000000
STEEL5 2499.360107 0.000000
INGOT6 3408.000000 0.000000
SLAB7 2840.000000 0.000000
SLAB8 720.000000 0.000000
COIL9 3423.076904 0.000000
COALB 0.000000 47.590000
OREB 0.000000 36.200001
PIGB 864.081604 0.000000
SCRAPB 1835.084961 0.000000
COAL1I 1305.017944 0.000000
ORE2I 343.137604 0.000000
ORE3I 1572.479980 0.000000
COKE3I 912.599976 0.000000
SINTER3I 659.880005 0.000000
SCRAP3 14.040000 0.000000
SCRAP4I 1879.199951 0.000000
PIG4I 243.600006 0.000000
SCRAP4 34.799999 0.000000
SCRAP5I 799.795227 0.000000
PIG5I 2024.481567 0.000000
SCRAP5 49.987202 0.000000
STEEL6I 3476.159912 0.000000
SCRAP6 68.160004 0.000000
INGOT7I 3408.000000 0.000000
SCRAP7 511.200012 0.000000
STEEL8I 763.200012 0.000000
SCRAP8 28.799999 0.000000
SLAB9I 3560.000000 0.000000
SCRAP9 136.923080 0.000000
COALY 1305.017944 0.000000
OREY 1915.617554 0.000000
Conclusion:
As per the regulations, if the yard is included in the pollution calculation, the Scenario 6 is the best strategy for Gartland Steel to follow, to get a profit of 291,875,400. The strategy entails buying the factory, and not installing the new open hearth furnace.
If the yard is not included in the calculation for pollution, the Scenario 5 is the best strategy to be followed for Gartland Steel, to get a profit of 249,691,000. The strategy entails buying the factory and not installing the new open hearth furnace.