Multivariate Calculus: multivariate calculus – #426

Question: If x thousand dollars is spent on labor and y thousand dollars is spent on equipment, the output at a certain factory will be \(Q\left( x,y \right)=60{{x}^{1/3}}{{y}^{2/3}}\) units. If $120,000 is available, how should this be allocated between labor and equipment to generate the largest possible output?

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