A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2...

 

Transcribed Image Text:

A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2 by weight. These chemicals can be manufactured by three different processes using two different raw materials and a fuel. The table below contains data on how much of each raw material and fuel is needed for each process, and how much of each chemical is produced in each case. Process Raw material 1 Raw material 2 Fuel Chemical 1 produced Chemical 2 produced A 9. 5 50 9. 6 B 6 8 75 12 C 4 11 100 10 6. Available 200 400 1850 The company would like to know how much time each process should be run in order to maximize the total amount of blend manufactured. (a) Model this problem as a linear program. (b) Solve the program using LINGO. A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2 by weight. These chemicals can be manufactured by three different processes using two different raw materials and a fuel. The table below contains data on how much of each raw material and fuel is needed for each process, and how much of each chemical is produced in each case. Process Raw material 1 Raw material 2 Fuel Chemical 1 produced Chemical 2 produced A 9. 5 50 9. 6 B 6 8 75 12 C 4 11 100 10 6. Available 200 400 1850 The company would like to know how much time each process should be run in order to maximize the total amount of blend manufactured. (a) Model this problem as a linear program. (b) Solve the program using LINGO.