Concept explainers
a)
To determine: How many assigns to each GA to grade in order to get all of exams graded for Professor Wang to minimize the number of exams that she will required to regrade by formulating linear programming.
Introduction: Linear programming is used to obtain the best possible outcome from the given real-world problem which is subjective to constraints and inequalities. It is used to make decisions based on business objectives. It is used in business planning, industrial engineering, and physical science. Express the real-world problem into the mathematical expression to get the optimal solution from the linear programming.
b)
To determine: How many assigns to each GA to grade in order to get all of exams graded for Professor Wang to minimize the number of exams that she will required to regrade by solving graphically.
c)
To determine: How many assigns to each GA to grade in order to get all of exams graded for Professor Wang to minimize the number of exams that she will required to regrade by formulating and solving linear programming.
6)
To determine: If Wang hire to work one more hour for both GA’s and find the effect of hiring the selected GA’s for one more additional
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
- The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.arrow_forwardAt Trojans Urgent Care Clinic, there is one triage nurse, 5 nurse practitioners, and 3 doctors. Patients arrive to the triage nurse, and the triage nurse decides if their case can be handled by a nurse practitioner or must be handled by a doctor. The triage nurse can detect patients whose case can be handled by a nurse practitioner in on average 5 minutes with standard deviation 1 minute; however, the triage nurse spends on average 10 minutes with standard deviation 3 minutes with patients whose case is eventually handled by a doctor. Patients seeing a nurse practitioner spend on average 30 minutes with standard deviation 8 minutes with the nurse practitioner, and patients seeing a doctor spend on average 45 minutes with standard deviation 10 minutes with the doctor. 60% of arriving patients are cared for by a nurse practitioner and 40% of arriving patients are cared for by a doctor. Patients leave the Urgent Care Clinic after seeing either the nurse practitioner or the doctor. a) If 8…arrow_forwardSouth Beach University is conducting an online exam. There are 1,200 students taking this exam. Students are required to download the exam questions from the university’s learning management system (LMS), solve the questions, type their workings and answers in a computer word processing application, and submit the files back to the LMS. It is estimated that the LMS takes an average of 30 seconds to process a submission. For example, if a student submits his files at time T and the LMS is able to start processing his submitted files right away, it is estimated that the LMS accepts the submission at T + 30 seconds. The cut-off time of the exam is 12pm on the exam day, that is, if a submission cannot be accepted by the LMS by 12pm, it is considered late submission. Due to the capacity of the LMS servers, a maximum of 150 submissions can be processed at any point of time. Submissions are processed on a first-come-first-serve basis. If the number of submissions exceeds the capacity, some…arrow_forward
- Solve the question below using the attached excel templates with formulas for renting both slow and fast copies (labeled in the excel tabs). Question: The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour?arrow_forwardSolve the question below using the attached excel templates with formulas for renting both slow and fast copies (labeled in the excel tabs). Question: The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per hour, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15 per hour, and it takes an employee an average of six minutes to complete copying. On average, four employees per hour need to use the copying machine. (Assume the copying times and interarrival times to the copying machine are exponentially distributed.) Which machine should the department rent to minimize expected total cost per hour?arrow_forwardThere are four fare classes on a flight with the following rates: Y: $800 B: $500 M: $350 T: $200 The EMSR of the next seat is $425. According to EMSRa, what is the lowest fare class open? Y M T Barrow_forward
- A serial process has 5 steps – A (4), B(5), C(2), D(6), and E(3) – that have to be performed in this order. The numbers in parentheses are the times (in minutes) needed to process a unit. For each unit produced by this process, the process has a total idle time of: Group of answer choices 1 min 10 mins 6 mins 3 minsarrow_forwardThe College of Business and Public Administration at Benton University has a copy machine on each floor for faculty use. Heavy use of the five copy machines causes frequent failures. Maintenance records show that a machine fails every 2.5 days (or l = 0.40 failure/day). The college has a maintenance contract with the authorized dealer of the copy machines. Because the copy machines fail so frequently, the dealer has assigned one person to the college to repair them. The person can repair an average of 2.5 machines per day. Using the finite-source model, answer the followingquestions: a. What is the average utilization of the maintenance person?b. On average, how many copy machines are being repaired or waiting to be repaired?c. What is the average time spent by a copy machine in the repair system (waiting and being repaired)?arrow_forwardNewTel is a telephone company with a policy of filling positions internally through promotions, rather than hiring from outside. Until recently, the company had a strong engineering focus and tended to promote people to senior executive positions from the engineering areas. Consequently, almost all of the company's 14 senior executives joined the company over 20 years ago as junior engineers. There is increasing pressure on NewTel to become more market and service oriented. As a result, four people were hired last year from firms to fill new senior executive positions in marketing and service departments. The external hires were necessary because current employees were not sufficiently qualified. Now, there are signs of tension among senior executives, particularly during budget deliberations where there is limited discretionary spending on new corporate activities. The four new hires have been thwarted in their attempts to have the company invest more in marketing and customer…arrow_forward
- A consulting company must hire 15 new associates per year to replace those who haveleft the company for other positions or have retired. The company employs 120 associates overall. How long is the average associate employed at the consulting company?arrow_forwardAn order for 200 units of a product is processed on work centers A and B. The set up time on A is 45 minutes and the run time is 5 minutes per piece. The set up time on B is 40 minutes and the run time is 8 minutes per piece. The wait time between the two operations is 2 hours. The move time between A and B is 15 minutes. Wait time after operation B is 1 hour and the move time into stores is 50 minutes. There is no queue at either work station. Calculate the total manufacturing lead time for the order.arrow_forwardA machine used for cutting materials in a factory has the following outputs per hour at various speeds and required periodic tool regrinding at intervals cited. Speed Hour Output per Tool RegrindingA 200 pieces every 8 hours B 280 pieces every 5 hours A set of tools costs 560 and can be ground twenty times. Each regrinding costs 54.00 and the time needed to regrind and change tools is 1 hour. The machine operator is paid 35.00 per hour including the time the tool is changed. The tool grinder who also sets the tools to the machine is paid 40.00 per hour. The hourly rate chargeable against the machine is 38.00, regardless of machine speed. Which speed is more ecomical? A. Speed B, 0.096/pc B Speed B, 0.087/pc C. Speed A, .054/pc D. Speed A >037/pcarrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,