1. [15 points] A manufacturing process has 12 workers and 6 stations. The process is completed in the order given below. Where there are multiple workers within a station, each worker works independently on his/her own unit. Assume inventory buffers are allowed between each station. Station Processing time (hours per unit per worker) Staffing A 2 2.20 B 1 1.25 C 3 2.00 D 2 2.60 3 1 3.00 0.75 E F What is the maximum number of units per hour that can be produced? Assume they start the day with inventory at each station to work on. 2. [15 points] A process requires 6 tasks that must be performed in order. Currently there are 4 employees that are equally skilled at each task. Employee 1 is assigned tasks 1 and 2, employee 2 is assigned task 3, employee 3 is assigned task 4, and employee 4 is assigned to tasks 5 and 6. The task times (all in seconds) are given in the process diagram below. For example, task 1 requires 29 seconds. 1-2 3 4 5 6 29 27 62 46 21 _32 Suppose the system started without any work in process inventory (i.e., an empty system). How long would this process take to produce 22 units (in seconds)? 3. Suppose a company has an inventory of $732,507.93 and had 7.8 turns. a. [10 points] What are the cost of goods sold (COGS)? b. [10 points] Suppose in a given year, the company has a gross margin of 29%. What were the sales for the company that year? c. [10 points] In the next year, the company experiences a 16% sales growth. What are the sales for the next year? d. [10 points] Suppose the annual holding cost is 32% and the COGS of item X is $12. What is the total amount of inventory holding costs for one unit of item X for one year?