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Mathematics, 31.03.2021 14:00 gabrielduboy

A biologist must make a medium to grow a type of bacteria. The percentage of salt in the medium is given by S=0.01x^2y^2z , where S is the percentage expressed as a decimal. And where x, y, and z are the amounts in liters of 3 different nutrients mixed together to create the medium. The ideal salt percentage for this type of bacteria is 29.6%. The costs of the x, y, and z nutrient solutions are respectively 9 , 6, and 9 dollars per liter. Determine the minimum cost that can be achieved.

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