Problem 3 (18 points). UAGM Parts & Accessories Inc, a manufacturing plant that produces various automotive products, wants to implement a kanban to pull material through its manufacturing work centers. Every work center produces a specify family of products. One of the products are rubber mats. The assembly of rubber mats involves cutting the rubber using a mold. The rubber is pulled from warehouse into the work center based on current demand. The rubber is purchased to an external supplier. The supplier made and sells the rubber in packages or lots of units of rubber not is separate units. Every time you place an order of rubber, the supplier can respond to an order for a lot of rubber in approximately 10 hours. The rubber mat assembly production work center averages approximately 10 assemblies per hour. There is some variability in the process, so the production manager has decided to have safety stock equivalent to 8 percent of the needed inventory. a. (6 points). Calculate the EOQ container size of packages from supplier using the following assumptions: Cost per order $ 10.00 Production rate/day Demand rate/day Total days per year Holding cost/year $ 90.13 Safety Factor 0.15 13 10 260 b. (6 points). How many kanban sets (rounded) are needed at UAGM to manage the replenishment of the rubber and avoid shortages? C. (6 points). You as Industrial Engineer suggested a partial robotic automation in the production area and UAGM Parts & Accessories Inc. implemented the suggestions. The result is an increase in efficiency and the work center now averages 15 assemblies per hour. Since there is more stability in the process, the safety stock was reduced to 5 percent. How many kanban cards (rounded) are now needed