A company has three factories, each manufacturing the same product. Let x, y, and z represent the number of units produced by factoryA, B, and C, respectively, with the corresponding manufacturing cost of 3x² + 200, +400, and 2z² + 300 pesos If an order for121,000 units is to be filled, use Lagrange multipliers to determine how the production should be distributed among the three factories tominimize the total manufacturing cost.

According to Lagranges multiplier theorem to maximize f(x,y.z) subject to the constraint…

Answered: A company has three factories, each…

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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Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy duty fence to keep out the critters. This heavy duty fence costs $28 per foot. The dog pen shares a side with the garden and has a lighter weight fence on the other three sides that costs $7 per foot. If each pen is to have an area of 3,240, find the values of x and y that would minimize the total cost of the fencing. x= y=
A sprinter runs a 100meter dash at a constant rate of 8.25. Meters per second . A liner constraints models the relationship between the number of seconds since the start of the race an the distance remaining until the sprinter reaches the finish line. If the number of seconds since the distance remaining until the sprinter reaches the finish line if the number of seconds since the start of the race is independent variable which of the following solutions is viable. A.(5.5,54.625) B. (-2,116.5) C.(13,-7.25) D.(4.76)
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G.97.
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