There are many decisions to be made when designing a package for a product. for example, what will be the shape of the package? how much will the package need to hold? what will be the dimensions of the package? with these questions, it is easy to see that the packaging of some products can be more complicated than the product itself. observations making packages is a big industry. there are about 500 billion packages used every year in the united states. more than half of these packages contain foods or beverages. of the 500 billion packages used every year, over 100 billion are cans. it takes 10 million tons of steel to make these cans. purpose in this lab, you will analyze different package shapes and their optimal sizes. you will use the first and second derivative and a graphing utility to study the different package shapes