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Thendral Krishnan (TK) is the co-founder and CEO of Great Western Vineyard (GWV), a vineyard established in Thekkady, Kerala. GWV cultivates three types of

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Thendral Krishnan (TK) is the co-founder and CEO of Great Western Vineyard (GWV), a vineyard established in Thekkady, Kerala. GWV cultivates three types of grapes, namely, (a) Malbec, (b) Cabernet, and (c) Riesling. The monthly production of Malbec, Cabernet, and Riesling at GWV is 350 kg, 300 kg, and 200 kg, respectively. Using these grapes, Thendral Krishnan makes three brands of wines, namely, (a) Chardonnay, (b) Blanc, and (c) Riesling W. The wines are made by mixing the three different types of grapes and two additives at various proportions. The amount of grapes and additives used to produce one litre of different brands of wines are shown in table: Grapes Amount in kg Used Malbec Cabernet Riesling 0.75 1.25 0.15 0.8 1.8 0.25 Riesling W 0.4 0.6 2 Availability 350 300 200 Wine Chardonnay Blanc Additives used in kg Additive 1 Additive 2 0.1 0.2 0.05 0.15 0.08 0.12 120 80 The profit earned from wines Chardonnay, Blanc, and Riesling W is 400, 950, and 1350 per 1 litre, respectively. The following LP formulation is written to maximize the profit. Monthly maximum demand for Chardonnay, Blanc, and Riesling W is 1000, 750, and 250 respectively. Let X = Amount (in litres) of Chardonnay produced = Amount (in litres) of Blanc produced X, = Amount (in litres) of Riesling W produced The objective is Max 400X, +950X, +1350X, Subject to 1.25X, +0.80X +0.40X, 350 0.75X, +1.80X +0.60X, 300 0.15X, +0.25X +2.00X, 200 0.10X, +0.05X, +0.08.X,

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