solution
Pecan Ridge Winery in Hugo, OK., makes three kinds of white wine: Oklahoma Riesling, Moscato and Rio Blanc. The raw materials, labor and profit per liter of each wine is given in the table below:
|
Wine |
Grapes Grade A (kg) |
Grapes Grade B (kg) |
Sugar (kg) |
Labor (hours) |
Profit per liter |
|
Oklahoma Riesling |
1 |
1 |
2 |
2 |
1.00 |
|
Moscato |
2 |
0 |
1 |
3 |
1.20 |
|
Rio Blanc |
0 |
2 |
0 |
1 |
2.00 |
Available to the winery for next week’s production are 150 kg of Grade A grapes, 150 kg of Grade B grapes, 80 kg of sugar and 225 hours of labor. Demand for Moscato is expected to be twice the demand for the other two wines combined.
Write the linear programming formulation to determine the optimal product mix for Pecan Ridge.
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