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.

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Polynomial And Rational Functions

Section9.4: Graphing Polynomial Functions

Problem 43PS

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Equations and inequalities describe the relationship between two mathematical expressions.

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Solve Q#3 and #4.

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.

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