The Douro Wine Company produces two kinds of wine — Douro Nectar and Douro Red. The wines are produced from 64 kilos of grapes the company has acquired this season. A 1,000-liter batch of Nectar requires 4 kilos of grapes, and a batch of Red requires 8 kilos. However, production is limited by the availability of only 50 cubic meters of storage space for aging. The processing time must be 120 hours. A batch of each type of wine requires 5 cubic meters of storage space. The processing time for a batch of Nectar is 15 hours, and the processing time for a batch of Red is 8 hours. Demand for Red is limited to seven batches but demand for Nectar is no less than five batches. The profit for a batch of Nectar is
The Douro Wine Company produces two kinds of wine — Douro Nectar and Douro Red. The wines are produced from 64 kilos of grapes the company has acquired this season. A 1,000-liter batch of Nectar requires 4 kilos of grapes, and a batch of Red requires 8 kilos. However, production is limited by the availability of only 50 cubic meters of storage space for aging. The processing time must be 120 hours. A batch of each type of wine requires 5 cubic meters of storage space. The processing time for a batch of Nectar is 15 hours, and the processing time for a batch of Red is 8 hours. Demand for Red is limited to seven batches but demand for Nectar is no less than five batches. The profit for a batch of Nectar is €9,000, and the profit for a batch of Red is €12,000. The company wants to determine the number of 1,000-liter batches of Nectar and Red to produce in order to maximize profit.
Formulate a linear programming model for this problem.
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