CellarDoor
Golden Member
First off, thanks to anyone who can help in any way.
Here is the problem.
TOXIC manufactures two cleaning solvents (S1 and S2). Each is produced by blending two chemicals (C1 and C2).
-Solvent 1 must contain at least 75% of chemical 1.
-Solvent 2 must contain no more than 35% of chemical 1.
-Solvent 1 sells for $154/drum.
-Solvent 2 sells for $122/drum.
TOXIC produces the two chemicals used in its final product. Chemicals 1 and 2 can be produced by either of two refining processes (R1 and R2).
-Running process 1 for one hour requires 8 units of energy and 3 units of raw materials, and yields 3 drums of chemical 1 and 4 drums of chemical 2.
-Running process 2 for one hour requires 5 units of energy and 5 units of raw materials, and yields 3 drums of chemical 1 and 2 drums of chemical 2.
-TOXIC has 750 units of energy and 265 units of raw materials available for this production. Write and solve an LP to maximize TOXIC's revenues.
Alright. Cleary the formula I am trying to maximize (revenue) is = 154S1 + 122S2. S1, then is composed of the number of gallons of chemical 1 used in S1 and the numbers of gallons of chemical 2 used in S1. I did the same for S2. I then did the functional constraints for solvent 1 and 2, but I'm completely lost for the rest. I don't know what to do with processes 1 and 2 and the energy and raw materials information. Does anybody have any idea how to do this. If so, I'd appreciate a PM to give me some direction. Otherwise, any help you can give me is appreciated.
Here is the problem.
TOXIC manufactures two cleaning solvents (S1 and S2). Each is produced by blending two chemicals (C1 and C2).
-Solvent 1 must contain at least 75% of chemical 1.
-Solvent 2 must contain no more than 35% of chemical 1.
-Solvent 1 sells for $154/drum.
-Solvent 2 sells for $122/drum.
TOXIC produces the two chemicals used in its final product. Chemicals 1 and 2 can be produced by either of two refining processes (R1 and R2).
-Running process 1 for one hour requires 8 units of energy and 3 units of raw materials, and yields 3 drums of chemical 1 and 4 drums of chemical 2.
-Running process 2 for one hour requires 5 units of energy and 5 units of raw materials, and yields 3 drums of chemical 1 and 2 drums of chemical 2.
-TOXIC has 750 units of energy and 265 units of raw materials available for this production. Write and solve an LP to maximize TOXIC's revenues.
Alright. Cleary the formula I am trying to maximize (revenue) is = 154S1 + 122S2. S1, then is composed of the number of gallons of chemical 1 used in S1 and the numbers of gallons of chemical 2 used in S1. I did the same for S2. I then did the functional constraints for solvent 1 and 2, but I'm completely lost for the rest. I don't know what to do with processes 1 and 2 and the energy and raw materials information. Does anybody have any idea how to do this. If so, I'd appreciate a PM to give me some direction. Otherwise, any help you can give me is appreciated.
