Mixing Sugar Water

★ 5/10Linear Programming algebra inequality

Problem

You have $20$ grams of sugar water at $15\%$ sugar concentration and $15$ grams of sugar water at $40\%$ concentration, plus an unlimited supply of pure sugar and pure water. You want to produce $30$ grams of sugar water at $20\%$ concentration.

1. Design several different mixing schemes. 2. Evaluate your schemes: which uses the least added sugar? Which wastes the least of the existing sugar water?

Answer

Solution

Difficulty	5/10
Topics	Linear Programming, algebra, inequality

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