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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