Learning Goal: I’m working on a management question and need an explanation and

Learning Goal: I’m working on a management question and need an explanation and answer to help me learn.Numerical Reasoning AssignmentPlease solve the following three numerical problems listed below:Please show all the steps and calculations in arriving at the numerical portions of your answer.————————————————————————————————————————————Q1. Freeport Credit Union currently has one outside drive-up teller. It takes the teller an average of four minutes (exponentially distributed) to serve a bank customer. Customers arrive at the drive-up window at the rate of 12 per hour (poisson distributed). The bank operations officer is currently analyzing the possibility of adding a second drive-up window at an annual cost of $20,000. It is assumed that arriving cars would be equally divided between both windows. The operations officer estimates that each minute’s reduction in customer waiting time would increase the bank’s revenue by $2,000 annually.Is it cost effective to install a second drive-up window? (Show calculations to support your answer.)
What other factors should be considered in the decision besides cost?
Q2. Collari Quarry is trying to decide whether to invest in a new material-handling system. The current system (called System 0) is old and completely paid for, and has an annual maintenance (fixed) cost of $10,000 and costs approximately $25 to transport each load of material. The two new systems, System 1 and System 2, that are being considered vary both in sophistication and cost. System 1 has a fixed cost of $40,000 and a cost per load estimated at $15. System 2 has a fixed cost of $100,000 but a per-load cost of $5.At what volume of demand (i.e., number of loads) should Collari purchase System 1 (show calculations)?
At what volume of demand should Collari purchase System 2 (show calculations)?
Q3. SJSU College of Business wants to forecast the number of students who will enroll in operations management courses next semester in order to determine how many sections to schedule. Enrollment data for the past eight semesters is provided below:SemesterOM Enrollment12702310325042905370641074008450Compute a four-semester moving average forecast for semesters 5 through 9.
Compute the exponentially smoothed forecast (α = 0.25) for the enrollment data.
Compare the two forecasts using MAD and indicate the most accurate.
Requirements: 3 answers   |   .doc file

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