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A Company Manufactures X Units of One Item and Y

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A company manufactures x units of one item and y units of another. The total cost, C, in dollars of producing these two items is given by the function A company manufactures x units of one item and y units of another. The total cost, C, in dollars of producing these two items is given by the function   . Use Lagrange multipliers to find the minimum cost subject to the constraint that 100 items (total) must be produced. The minimum cost occurs when x = _____ and y = _____. Round your answers to the nearest whole number. .
Use Lagrange multipliers to find the minimum cost subject to the constraint that 100 items (total) must be produced. The minimum cost occurs when x = _____ and y = _____. Round your answers to the nearest whole number.

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Definitions:

Catalysts

Substances that increase the rate of a chemical reaction without undergoing permanent chemical change.

Reaction Times

The duration it takes for an individual to respond to a stimulus, often measured in psychological and physiological experiments.

ANOVA

Analysis of Variance, a statistical method used to compare the means of three or more samples, testing for significant differences between them.

MST

Minimum Spanning Tree, a concept in graph theory used to describe the shortest path that connects all points in a network without any cycles.

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