please help thank you

A small manufacturing facility is being planned that will feed parts to three heavy manufacturing facilities. The locations of the current plants with their coordinates and volume requirements are given in the following table PLANT LOCATION Peoria Decatur Joliet COORDINATES 292, 309 383,466 475, 179 VOLUME (PATS PER YEAR) 4,050 6,100 2,850 Use the centroid method to determine the best location for this new facility (Round your answers to 1 decimal place) C Not all the items in your office supply store are evenly distributed as far as demand is concerned, so you decide to forecast demandt help plan your stock. Past data for legal-sized yellow tablets for the month of August are 330 Week 1 Week 2 Week 3 Week 4 430 630 730 a. Using a three-week moving average, what would you forecast the next week to be? (Round your answer to the nearest whole number.) Forecast for the weeks b. Using exponential smoothing with a = 0.40, if the exponential forecast for week 3 was estimated as the average of the first two weeks [(330 + 430) 2 = 380), what would you forecast week 5 to be? (Round your answer to the nearest whole number) Forecast for the wook 5 A supplier of instrument gauge clusters uses a kanban system to control material flow. The gauge cluster housings are transported six at a time. A fabrication center produces approximately 5 gauges per hour, it takes approximately two hours for the housing to be replenished. Due to variations in processing times, management has decided to keep 20 percent of the needed inventory as safety stock. How many kanban card sets are needed? (Round up your answer to the next whole number.) Number of kann und sie