A distillery makes two kinds of authentic Philippine wine: Regular and Sweet. Each Regular wine will need at least two bushels of grapes and exactly one hour of labor. Each Sweet wine will need at least one bushel of grapes, not more than one kilo of sugar, and exactly one hour of labor. The profit is P10 and P5 for each Regular and Sweet wine respectively. If the winery has at least ten bushels of grapes, four kilos of sugar available, and exactly 20 hours of labor, what product mix of wine will maximize the company’s profit? Use graphical method.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
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A distillery makes two kinds of authentic Philippine wine: Regular and Sweet. Each Regular wine will need at least two bushels of grapes and exactly one hour of labor. Each Sweet wine will need at least one bushel of grapes, not more than one kilo of sugar, and exactly one hour of labor. The profit is P10 and P5 for each Regular and Sweet wine respectively. If the winery has at least ten bushels of grapes, four kilos of sugar available, and exactly 20 hours of labor, what product mix of wine will maximize the company’s profit? Use graphical method. 

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