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In: Advanced Math

A biologist must make a medium to grow a type of bacteria. The percentage of salt...

A biologist must make a medium to grow a type of bacteria. The percentage of salt in the medium is given by S=0.01(x^2)(y^2)z , 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 35.7%. The costs of the x, y, and z nutrient solutions are respectively 10 , 7, and 8 dollars per liter. Determine the minimum cost that can be achieved.

(Round your answers to the nearest 4 decimal places.)

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