Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $117 per unit) and capital (at $50 per unit) is limited to $220,000, where P is the production function, x is the number of units of labor, and y is the number of units of capital. (Round your answer to the nearest whole number.) P(x, y) = 100x0.25y0.75

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
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Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $117 per unit) and capital (at $50 per unit) is limited to $220,000, where P is the production function, x is the number of units of labor, and y is the number of units of capital. (Round your answer to the nearest whole number.)
P(x, y) = 100x0.25y0.75
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