A closed cardboard box is constructed from different materials. If the material for the base of the box costs 2php per square foot, and the side/top material costs 1php per square foot, find the dimensions of the largest box that can be created for 36php

You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 525 cm³. The material for the base of the box costs 7 cents/cm² and the material for the sides of the box costs 2 cents/cm². Find the dimensions for a box that will minimize the cost of the materials used to construct box. Width Height = cm cm

A post needs to be driven into the ground by a mechanical hammer to facilitate some of the operations carried out in the manufacture of some engine parts. The distance it is driven by the first blow is 11 cm. Each subsequent blow drives the post 90% of the distance of the proceeding blow. If each blow takes 10 seconds how long will it take to drive the post at least 75cm into the ground What is the maximum distance the post can be driven into the ground?

A rectangular plot of farmland will be bounded on one side by a river and on the otherthree sides by a single-strand electric fence. With 800 m of wire at your disposal, what isthe largest area you can enclose?