Optimization 4 A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. Find the dimensions that will result in a solid with maximum volume. Optimization: Maximum Volume A rectangular solid (with a square base) has a surface area of 337.5 square centimeters. Optimization: Find Largest Volume of a Box Given Amount of Material This video shows how to find the largest volume of an open top box given the amount of material to use.īOX Optimization Problem in 3D - find global max\min Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is 24.
In this video, I find the maximum volume of a box made from a 2ft x 2ft piece of metal when corners of equal size are removed and then the sides of the box are folded up.
You da real mvps! $1 per month helps!! :) /patrickjmt !! Optimization Problem #5 - Max Volume of a Box Made From Square of Material. Optimization Problem #5 - Max Volume of a Box Made From Square of Material Thanks to all of you who support me on Patreon. Optimization - Minimize Cost Of A Box This video shows how to minimize the cost of a box. Optimization - "Maximum profit" business example. Optimization - "Minimum time to cross river" example /watch?v=7bFSjr9lOhE Optimization - "Minimum sum of two numbers" example /watch?v=WJ圓EEJPV3g Optimization - "minimum fence required" example I also provided the links for my other optimization videos as well. Optimization - Maximum volume of box Optimization is explained completely in this calculus video. Optimization Maximize Volume of Box starting with a rectangular sheet of metal, we find the dimensions of the squares cut from each corner to give a box with maximum volumeĮx: Optimization - Minimize the Cost to Make a Can with a Fixed Volume This video provides an example of how to find the dimensions of a right circular cylinder that will minimized production costs. We have to find the radius and height that would maximize the volume of the can. In this video, we have a certain amount of material with which to make a cylindrical can. You da real mvps! $1 per month helps!! :) /patrickjmt !! Optimization Problem #6 - Find the Dimensions of a Can To Maximize Volume. Optimization Problem #6 - Find the Dimensions of a Can To Maximize Volume Thanks to all of you who support me on Patreon.
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