Question

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 SS 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 33.6%. The costs of the xx, yy, and z nutrient solutions are respectively 7 , 4, and 3 dollars per liter. Determine the minimum cost that can be achieved.

Answer 1