Problem 3 (20 points) The Valley Wine Company produces two kinds of wine-Valley Nectar and Valley Fed. The wines are produced from 64 toms of grapes the company his acquired this season. A 1,000-gallon bateh of Nectar requires 4 tons of grapes, and a bateh of Red requires 8 tons. Howver, production is limited by the avilibbitity of only 50 cubic yards of storage space for aging and 120 hours of processing time. A bateh of each type of wine requires 5 eubic yards of storage space. The processing time for a batch of Noctar is 15 hours, and the processing time for a bateh of Red is 8 hotam. Demand for cacli type of wine is limited to seven batches. The protit for a batch of Nectat is $9,000, and the profit for a taich of Red is $12,000. The order to maximize profit. a. Formulate a linear programming model for this problvo unimed at the optimal nolistion? (o) calie yurdin