As a result of the water crisis in Lasa, the Lasa Department of Water, with the assistance of their engincers and accountants decided to build a water line that has to be cost effective. The water line will be built from point A to D, as shown in Figure 3. The cost differs, given as such: 3k from A to B, 2k from B to C, and k from C to D, where the cost per kilometer is in dollars (for simplicity, letk=1). The accountants worked together with the engincers to minimize the total cost. Use Lagrange multipliers to find x, y and z such that the total cost C will bc minimized. [Verify using Muthematica
As a result of the water crisis in Lasa, the Lasa Department of Water, with the assistance of their engincers and accountants decided to build a water line that has to be cost effective. The water line will be built from point A to D, as shown in Figure 3. The cost differs, given as such: 3k from A to B, 2k from B to C, and k from C to D, where the cost per kilometer is in dollars (for simplicity, letk=1). The accountants worked together with the engincers to minimize the total cost. Use Lagrange multipliers to find x, y and z such that the total cost C will bc minimized. [Verify using Muthematica
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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![c). As a result of the water crisis in Lasa, the Lasa Department of Water, with the assistance of their engineers
and accountants decided to build a water line that has to be cost effective. The water line will be built
from point A to D, as shown in Figure 3. The cost differs, given as such: 3k from A to B, 2k from
B to C, and k from C to D, where the cost per kilometer is in dollars (for simplicity, let k =1). The
accountants worked together with the engineers to minimize the total cost Use Lagrange multiplicrs to
find x, y and z such that the total cost C will bc minimized. [Verify using Mathematica
Page |2
2km
B
Ikm
Di
10kin
Figure 3: The whter line plan.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4033f1d7-8b6a-485b-adbf-fb82e14ca4fe%2F18402484-b698-4326-afa0-da84922c8706%2Fll9hqzr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:c). As a result of the water crisis in Lasa, the Lasa Department of Water, with the assistance of their engineers
and accountants decided to build a water line that has to be cost effective. The water line will be built
from point A to D, as shown in Figure 3. The cost differs, given as such: 3k from A to B, 2k from
B to C, and k from C to D, where the cost per kilometer is in dollars (for simplicity, let k =1). The
accountants worked together with the engineers to minimize the total cost Use Lagrange multiplicrs to
find x, y and z such that the total cost C will bc minimized. [Verify using Mathematica
Page |2
2km
B
Ikm
Di
10kin
Figure 3: The whter line plan.
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