Process | Requirements per Unit Time | Output per Unit Time | |||||||
---|---|---|---|---|---|---|---|---|---|
Raw Material 1 (units) | Raw Material 2 (units) | Fuel (units) | Chemical 1 (units) | Chemical 2 (units) | |||||
1 | 9 | 5 | 50 | 9 | 6 | ||||
2 | 6 | 8 | 75 | 12 | 4 | ||||
3 | 4 | 11 | 100 | 10 | 6 | ||||
Amount available |
200 | 400 | 1850 |
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. Production data are given in the table at the top. The company would like to know how much time should each process be run in order to maximize the total amount of blend manufactured.
Formulate this problem as an LP.