3.Solve by Lagrange Multiplier Method: Clearly identify your constraint function andyour system. You may use either approach you learned in class and on the video.The annual production of skateboards at a local factory is described by the equation:U (x,y)= 800x(1/4) y(3/4)where x is worker-hours and y is capital expenditure (measured in units of $10 dollars).Manufacturing costs the factory roughly 10x + 20y dollars.a) What values of x and y will allow the factory to maximize the production ofskateboards while spending only $600?

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Description: 3.Solve by Lagrange Multiplier Method: Clearly identify your constraint function andyour system. You may use either approach you learned in class and on the video.The annual production of skateboards at a local factory is described by the equation:U

The annual production of skateboards at a local factory is given by equation as U(x,y)=800x14y34,…

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3. Solve by Lagrange Multiplier Method: Clearly identify your constraint function and your system. You may use either approach you learned in class and on the video. The annual production of skateboards at a local factory is described by the equation: (3/4) U(x, y) = 800x (1/4)y(3 %3D where x is worker-hours and y is capital expenditure (measured in units of $10 dollars). Manufacturing costs the factory roughly 10x + 20y dollars. a) What values of x and y will allow the factory to maximize the production of skateboards while spending only $600?

3. Solve by Lagrange Multiplier Method: Clearly identify your constraint function and your system. You may use either approach you learned in class and on the video. The annual production of skateboards at a local factory is described by the equation: (3/4) U(x, y) = 800x (1/4)y(3 %3D where x is worker-hours and y is capital expenditure (measured in units of $10 dollars). Manufacturing costs the factory roughly 10x + 20y dollars. a) What values of x and y will allow the factory to maximize the production of skateboards while spending only $600?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

3.
Solve by Lagrange Multiplier Method: Clearly identify your constraint function and
your system. You may use either approach you learned in class and on the video.
The annual production of skateboards at a local factory is described by the equation:
U (x,y)
= 800x(1/4) y(3/4)
where x is worker-hours and y is capital expenditure (measured in units of $10 dollars).
Manufacturing costs the factory roughly 10x + 20y dollars.
a) What values of x and y will allow the factory to maximize the production of
skateboards while spending only $600?

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