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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text: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 2 at the critical point is:
а. 13 24
b. 1 = 36
c. 1 = 54
d. 1 = 96
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
