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

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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.
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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