6. A rectangular vault is to be constructed on an existing floor at a bank so as to enclose a volume of 485 cubic meters. The cost per square meter of materials is $2,000 for the ceiling, $9,000 for the wall with the door and $3,000 for the other three walls. The minimized cost of the vault rounded to the nearest $1,000 dollars is: a. $964,000 b. $971,000 c. $982,000 d. $993,000 7. The function f (x,y,z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical point at (x, y, z) = (24, 12,8). If that critical point is derived by the Lagrangian method, then the value of the Lagrange multiplier 1 at the critical point is: a. 1= 24 b. 1 = 36 c. 1= 54 d. 1 = 96

6. A rectangular vault is to be constructed on an existing floor at a bank so as to enclose a volume of 485 cubic meters. The cost per square meter of materials is $2,000 for the ceiling, $9,000 for the wall with the door and $3,000 for the other three walls. The minimized cost of the vault rounded to the nearest $1,000 dollars is: a. $964,000 b. $971,000 c. $982,000 d. $993,000 7. The function f (x,y,z) = xyz, when subject to the constraint x + 2y + 3z = 72, has one critical point at (x, y, z) = (24, 12,8). If that critical point is derived by the Lagrangian method, then the value of the Lagrange multiplier 1 at the critical point is: a. 1= 24 b. 1 = 36 c. 1= 54 d. 1 = 96

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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