1. You are tasked with creating a rectangular box using 12 m² of (insert some random material here) because why wouldn't
Posted: Thu May 12, 2022 10:42 am
1. You are tasked with creating a rectangular box using 12 m² of (insert some random material here) because why wouldn't you be? To make this box especially useful, let's design it so that it does not have a lid. Use a Lagrange multiplier to find the maximum volume of the box. To help get you started, let the volume of your box be represented by the function f(x, y, z) = xyz and subject to the constraint g(x,y,z) = xy + 2yz + 2xz - 12. Be sure to include evidence that your solution represents a maximum.