1 (Productivity) Med-Tech labs is a facility that provides medical tests and evaluations for patients, ranging from analyzing blood samples to performing magnetic resonance imaging (MRI). For each patient, the price to the patient is $60. The Labor cost is $15, the materials cost is $20, and the overhead cost is $20. What is the multifactor productivity ratio (consider all the input mentioned above) for Med-Tech? (Little's Law) A loan processing office receives 55 loan requests every day. Assume a 10-hour workday. The office has 2 departments. It takes the first department on average 20 minutes to do a preliminary check on the requests and 20% are rejected directly without going into the second department. The remaining 80% go into the second department and take 1 hour and 6 minutes per request and then either an acceptance or rejection letter is sent to the client. Question: 1) On average, how many requests are in the first department (i.e. being processed at the same time)? 2) How many are in the second? [Partial Solution Hint: If you complete everything correctly, your answer to the first question should be 1.83 requests in the first department.] (Cash to Cash Cycle) The table below illustrates excerpts from ABC Business' balance sheet and income statement in 2022. All figures are reported in units of a million. Items Amount Revenue (or sales) (MS/yr) S1000M COGS (MS/yr) $700M Raw & Finished Goods Inventory | $400M (MS/yr) Accounts Receivable (MS/yr) S500M Accounts Payable (MS/yr) 5200M Using the information in the table above, calculate ABC's cash to cash cycle (measured in days) in 2022. [Partial Solution Hint: If you complete everything correctly, your answer to the days of inventory should be 208.57 days.] (Project Management) Ponderosa Construction plan to build a new clubhouse at the Sun Lakes Golf Course outside Tampa, Florida. Ponderosa uses a mixture of union and nonunion personnel. Grading of the land, electrical, and plumbing is subcontracted out to union shops. The actual construction of the project, though supervised by union carpenters, is performed mainly by nonunion laborers to conserve costs. Project planning has produced the following chart: Immediate Completion Possible Crash Crash Cost Predecessors Time (Days) Time (Days) per Day A. Gradingland - 3 2 S500 B. Order building supplies - 4 3 $1,000 C. Hire nonunionlabor - 7 5 $200 D. Pour concrete slab A 8 E. Receive/organize B 8 5 $300 supplies F. Build clubhouse frame C,D,E 30 G. Electrical installation F 15 H. Plumbing installation F 11 I. Dry wall/paint/tile G,H 18 outside Use the information provided above to answer the following questions: (a) Calculate the earliest start and finish times for all activities (forward pass) and the latest start and finish times for all activities (backward pass). (b) Compute the slack time for each activity and identify the critical activities. (c) Identify all critical path(s). What is the project completion time? (d) If we want to speed up the project by 1 day, which one is most cost-efficient (min cost)