1. You’ve been hired by a company that makes rectangular storagecontainers. Each container has a square base and each containermust have a volume of 10 m^3. The material for the base and topcosts $6/m^2 and the material for the four sides costs $4/m^2. Findthe dimensions of the container that minimize the cost of eachcontainer.
2. You want to impress your boss by creating a general strategyfor finding the dimensions of the cheapest storage container giventhat the cost of material for the top and bottom is p dollars persquare meter and the cost of the material for the sides is qdollars per square meter. As before, the storage container isrectangular, has a square base, and must have a volume of 10 m^3.Your dimensions will involve p and q.
For each part, you want to prove to your bossthat these dimensions actually do minimize the cost.
Accordingly, you include an argument as to why these dimensionsMUST minimize the cost.
