SOLVED:Consider the Cobb-Douglas production model for a manufacturing process depending on three inputs x, y, and z with unit costs a, b, and c, respectively, given by P=k x^α y^β z^γ, α>0, β>0, γ>0, α β γ=1 subject to the cost constraint a x b y c z=d. Determine x, y and z to maximize the production P.
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