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Find the minimum cost to produce 50,000 units of a product, if the level of production is given by p _ ((xy)) = 100x ^

Find the minimum cost to produce 50,000 units of a product, if the level of production is given by p _ ((xy)) = 100x ^ 0.25 y ^ 0.75, where  denotes the number of total units of labor and  the total number of units of capital, the cost of labor in $ 72 per unit and the cost of capital is $ 60 per unit (Use the Lagrange method). 

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