Please answer it correctly and quickly

6. (20 points) You work at a distribution facility and need to design a 4-level shelving unit that holds packages. You have been told that the unit must be able to hold a total volume of 180 ft3 and that the length of the unit must be three times its width. Your goal is to design a shelving unit that uses the least amount of material (assume all aspects of the unit have negligible thickness). (a) What are you trying to optimize? W (b) What is the objective function? (c) What is/are the constraint function(s)? (d) Determine (and verify) the dimensions of the shelving unit that minimize the material required