With exactly 2700 cm of cardboard, we wish to construct a box (width x, depth y, height z) that can contain a volume V. We require the width to be double its depth. We would like to maximize the volume the box can hold. Which values of x, y, z fulfill our objective. a. Write the mathematical model. b. What is the model type? c. Solve the model using Excel and submit the file. Note that all the above should be written and solved in the excel file.