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Use Lagrange multipliers to find the maximum production level when the total cost of labor (at...

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Basic Math

Use Lagrange multipliers to find the maximum production levelwhen the total cost of labor (at $111 per unit) and capital (at $50per unit) is limited to $250,000, where P is the productionfunction, x is the number of units of labor, and y is the number ofunits of capital. (Round your answer to the nearest whole number.)(Please use the numbers given I've followed other 'solutions' andkeep getting the wrong answer, I just want to see that the methodused in response gets the correct answer and how.)

P(x, y) = 100x0.25y0.75

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