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Ben Runs a Cookie Factory

question 58

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Ben runs a cookie factory. His cookies are made with sugar, peanut oil, and soybean oil. The number of boxes of cookies that he produces is f (su, po, so) = min{su, po + 2so}, where su is the number of bags of sugar, po the number of canisters of peanut oil, and so the number of canisters of soybean oil that he uses. The price of a bag of sugar is $12. The price of a canister of peanut oil is $6. The price of a canister of soybean oil is $19. If Ben makes 254 boxes of cookies in the cheapest way possible, how many canisters of soybean oil will he use?


Definitions:

Lesser Antilles

A group of islands in the Caribbean Sea, forming part of the boundary between the Caribbean Sea and the Atlantic Ocean, located on the eastern edge of the Caribbean plate.

Transform Faults

Boundaries between tectonic plates where the motion is predominantly horizontal, leading to earthquakes but not creating volcanoes.

Gulf of Mexico

A large ocean basin near the southeastern coast of North America, bounded by the United States, Mexico, and Cuba, known for its rich biodiversity and significant oil reserves.

Narrow Ocean

A relatively thin and elongated body of oceanic water situated between more substantial land masses.

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