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3) A vineyard wishes to blend four different vintages to make three types of blended wine. The supply of the vintages and the sales prices

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3) A vineyard wishes to blend four different vintages to make three types of blended wine. The supply of the vintages and the sales prices of the blended wines are shown in the following table together with certain restrictions on the percentage composition of the three blends. In particular, vintages 2 and 3 together must make up at least 75% of Blend A and at least 35% of Blend C. In addition, Blend A must contain at least 8% of vintage 4, while Blend 8 must contain at least 10% of vintage 2 and at most 35% of vintage 4. Any amounts of Blends A, B, and can be sold. Formulate an LP model that will make the best use of the vintages on hand. Blend Vintage Sales Price Per Gallon 1 2 3 At least 8% 80 At least 75% 2 & 3 in any proportion B At least 10% At most 35% 50 35 At least 35% 2 & 3 in any proportion Supply (gallons) 130 200 150 350 Indicates no restriction. 3) A vineyard wishes to blend four different vintages to make three types of blended wine. The supply of the vintages and the sales prices of the blended wines are shown in the following table together with certain restrictions on the percentage composition of the three blends. In particular, vintages 2 and 3 together must make up at least 75% of Blend A and at least 35% of Blend C. In addition, Blend A must contain at least 8% of vintage 4, while Blend 8 must contain at least 10% of vintage 2 and at most 35% of vintage 4. Any amounts of Blends A, B, and can be sold. Formulate an LP model that will make the best use of the vintages on hand. Blend Vintage Sales Price Per Gallon 1 2 3 At least 8% 80 At least 75% 2 & 3 in any proportion B At least 10% At most 35% 50 35 At least 35% 2 & 3 in any proportion Supply (gallons) 130 200 150 350 Indicates no restriction

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