(ou are designing a manufacturing facility that is making toy robots. Each toy robot nust pass through four stages: build; wire, test, package. The build and wire tasks can be completed in either order (build first or wire first) but testing and packaging must be conducted serially after the build and wire stages are completed. You are tasked with assigning the optimal route for robots to be built. Building and wiring must be at least 5 meters away from each other in each direction. Building and testing must be at least 3 meters away from each other in each direction. There is no restriction of how close building and packaging can be. Wiring and testing must be 10 meters away from each other in each direction. Wiring and packaging must be 2 meters away from each other in each direction. Testing and packaging do not have a restriction in how close they can be. 1. Write an objective function and constraints (doesn't have to be math notation but +5 bonus points if you make a reasonable attempt). 2. Draw the facility restrictions. Draw a solution to the problem that is within an optimal range (I am giving some leeway here.) 3. Another member of your team suggested two linear designs: A. building->wiring->testing->packaging B. wiring building testing packaging For design A, they use conveyors traveling linearly between locations at 2m/s (constant velocity). For design B, they use a shuttle traveling at 5m/s (constant velocity). Using the minimum distance traveled and the speed of travel, which is the faster method of transporting robot parts? (Don't forget to use the minimum distances above!) 4. Unlike conveyors that have several merge points and can maintain constant velocity, shuttles actually have an acceleration and deceleration when they pick up and drop off robots. If the acceleration is 10m/s/s for the first and last 2 seconds, what is the velocity and distance traveled by the shuttle? How do you know