The total budget is 24000 and the company can buy x y z at, Mathematics

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The total budget is 24000 and the company can buy x y z at

A company has a production function with three inputs x, y, and z given by f(x,y,z)= 50(x^(2/5))(y^(1/5)) (z^(1/5)). The total budget is $24,000 and the company can buy x, y, z at $80, $12, and $10 per unit, respectively. What combination of inputs will maximize production?

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