3:10 LIE 1 Homework 4 - Linear Programming... Demand Planning & Fulfillment Homework #4 Questions through 4: You need to buy some filing cabinets, and you have two options . Model X Cabinet details: o Cost: S10 per cabinet o Space Required: 6 square feet o File Storage Volume: 8 cubic feet of files Model Y Cabinet details: Cost: S20 per cabinet o Space Required: 8 square feet File Storage Volume: 12 cubic feet of files Your boss has given you a budget of S140 to purchase your cabinets. Given that your office has room for no more than 72 square feet of cabinets, you need to determine how many cabinets of each model in order to maximize storage volume. Question 1: What are your decision variables? (1 points) Question 2: Write out a mathematical expression for the objective function for storage volume. (I point) Question 3: Write out the mathematical expressions for the constraints. (1.5 points) Question 4: Plot the constraints, and identify the solution that maximizes storage volume from your graph (1.5 points) Question #5 (I point) A firm has redesigned its production process so that it now takes 10 hours for a unit to be made Using the old process, it took 15 hours to make a unit. If the process makes one unit cach hour on average and each unit is worth $1.500, what is the reduction in work-in-process value? Dashboard Calendar To Do Notifications Inbox