3. A manufacturer has an order for 1000 units that can be produced at two locations. Let x and y be the number of units produced at the two plants. Use the Method of Lagrange Multipliers to find the number of units that should be produced at each plant to minimize the cost if the cost function is given by: C()0.25x2+10x +0.15y2 + 12y + 5000 4. Find the dimensions that will minimize the surface area of a rectangular box with an o having a volume of 32 cubic feet. Use the Method of Lagrange Multipliers.
3. A manufacturer has an order for 1000 units that can be produced at two locations. Let x and y be the number of units produced at the two plants. Use the Method of Lagrange Multipliers to find the number of units that should be produced at each plant to minimize the cost if the cost function is given by: C()0.25x2+10x +0.15y2 + 12y + 5000 4. Find the dimensions that will minimize the surface area of a rectangular box with an o having a volume of 32 cubic feet. Use the Method of Lagrange Multipliers.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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