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    How many vats of lite, regular and dark beer should be brewed in order to maximize profits? What is the maximum profit?

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    A brewery manufactures 3 types of beer ---lite, regular and dark. Each vat of lite beer requires 6 bags of barley, 1 bag of sugar, and 1 bag of hops. Each vat of regular beer requires 4 bags of barley, 3 bags of sugar, and 1 bag of hops. Each vat of dark beer requires 2 bags of barley, 2 bags of sugar, and 4 bags of hops.

    Each day the brewery has 800 bags of barley, 600 bags of sugar, and 300 bags of hops available.

    The brewery realizes a profit of $10 per vat of lite beer, $20 per vat of regular beer, and $30 per vat of dark beer.

    How many vats of lite, regular and dark beer should be brewed in order to maximize profits? What is the maximum profit?

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    This solution is comprised of a detailed explanation to answer how many vats of lite, regular and dark beer should be brewed in order to maximize profits and what is the maximum profit.

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