kensaurus
03-17-2010, 07:28 PM
Question:
A rectangle box without a lid is to be made from 12 square metres of cardboard.
Find the maximum volume.
Please try it out before looking at the answer :)
Answer 1:
You can use trial and error.
Answer 2:
Let x, y and z be the length width and height of box. We want to maximize V(x,y,z) = xyz subject to the constraint g(x,y,z) = 2xz + 2yz + xy = 12
Find the answer by using the Method of Lagrange Multiplier :)
Final Answer:
The answer is 4 cube metres.
A rectangle box without a lid is to be made from 12 square metres of cardboard.
Find the maximum volume.
Please try it out before looking at the answer :)
Answer 1:
You can use trial and error.
Answer 2:
Let x, y and z be the length width and height of box. We want to maximize V(x,y,z) = xyz subject to the constraint g(x,y,z) = 2xz + 2yz + xy = 12
Find the answer by using the Method of Lagrange Multiplier :)
Final Answer:
The answer is 4 cube metres.