Please develop a linear programming model for the problem. b. Find the optimal solution via Excel. (showing formulas and steps if possible)
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Big Lots Services (BLS) would like to develop a model that will help allocate their technician’s time between service calls to regular contract customers and new customers. A maximum of eighty hours of technician time is available over the two-week planning period. To satisfy cash flow requirements, at least eight hundred dollars in revenue (per technician) must be generated during the two-week period. Technician time for regular customers generates twenty-five dollars per hour. However, technician time for new customers only generates an average of eight dollars per hour. To ensure that new customer contracts are being maintained, the technician time spent on new customer contracts must be at least sixty percent of the time spent on regular customer contracts. Given these revenue and policy requirements, (BLS) would like to determine how to allocate technician time between regular customers and new customers so that the total number of customers contracted during the two week period will be maximized. Technicians require an average of fifty minutes for each regular customer contract and one hour for each new customer contract.
a. Please develop a linear programming model for the problem.
b. Find the optimal solution via Excel. (showing formulas and steps if possible)
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- A copier is able to operate for an average of 200 hours between repairs, and the mean repair time is two hours. Determine the availability of the copier.In a job shop, effective capacity is only 79 percent of design capacity, and actual output is 53 percent of effective output. What design capacity would be needed to achieve an actual output of 11 jobs per week? What is its effective capacity? a. The Design Capacity needed to achieve the required actual job outputs Blank 1 (round to whole number) b. The Effective Capacity needed to achieve the required actual job outputs = Blank 2 (round to whole number) Blank 1 Add your answerThe common measures of a queuing system's performance include: O probability that the service facility will be idle, average queue length, and probability that the waiting time will exceed a specified duration. average time each customer spends in the system, probability that the service system will be idle, and average time each customer spends in the queue. average queue length, maximum time a customer may spend in the queue, and the utilization factor for the system. average time each customer spends in the system, maximum queue length, and probability of a specific number of customers in the system. maximum queue length, maximum time a customer may spend in the queue, and average queue length.
- A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 80 carts per hour. Workers receive $10 per hour, and machine cost was $40 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $10 per hour, while output increased by four carts per hour.A) Compute labor productivity under each system. Use carts per worker per hour as themeasure of labor productivity.B) Compute the multifactor productivity under each system. Use carts per dollar cost (laborplus equipment) as the measure.C) Comment on the changes in productivity according to the two measures, and on which one you believe is the more pertinent for this situation.Jefferson Company's demand for its only product exceeds its manufacturing capacity. The company provided the following information for the machine whose limited capacity is prohibiting the company from producing and selling additional units. 4,900 minutes 7,000 minutes 3.8 units per minute 4.0 units per minute 15,827 units 18,620 units Actual run time this week Machine time available per week Actual run rate this week Ideal run rate Defect-free output this week Total output this week (including defects) Required: 1. Compute the utilization rate. (Round your answer to 2 decimal places.) 2. Compute the efficiency rate. (Round your answer to 2 decimal places.) 3. Compute the quality rate. (Round your answer to 2 decimal places.) 4. Compute the overall equipment effectiveness (OEE). (Do not round intermediate calculations. Round your final answer to 3 decimal places.) Utilization rate Efficiency rate Quality rate Overall equipment effectivenessA fleet repair facility has the capacity to repair 800 trucks per month. However, due to scheduled maintenance of their equipment, management feels that they can repair no more than 600 trucks per month. Last month, two of the employees were absent several days each, and only 400 trucks were repaired. Calculate the utilization of the repair shop. Calculate the efficiency of the repair shop. Discuss the utilization and efficiency of this repair facility. What can be done to improve the operations at the facility?
- Prybloxx primarily uses one courier company, AJAX Couriers, for all their deliveries. In some circumstances, where AJAX is too busy and does not have capacity to fulfil deliveries or they do not cover certain areas, only then will Prybloxx make use of a different courier company. Prybloxx has recently had a significant influx of customer complaints regarding goods that have not been delivered, delivered long after the agreed delivery time or damaged once they arrive at the customer. Prybloxx is aware of the effect that this could have on demand for their product, customer goodwill and are now investigating insourcing the delivery of their product to customers. Prybloxx has noted that they have two alternatives in insourcing this department – they can either purchase a local courier company that is considered a going concern or they can purchase all of the required assets and set up such a department themselves. Mr. Pranoto (production manager) has requested that you prepare a report…A company that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. Prior to buying the new equipment, the company used five workers, who produced an average of 80 carts per hour. Workers receive $10 per hour, and machine cost was $40 per hour. With the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $10 per hour while output increased by four carts per hour. Compute labor productivity under each system. Use carts per worker per hour as the measure of labor productivity. Compute the multifactor productivity under each system. Use carts per dollar cost (labor plus equipment) as the measure.What happens to the gratuity amount if an employee resigns before completing the minimum service period?
- A customer’s order is delivered (received by the customer) on December 1, 2019. This order wasplaced with the company on September 1, 2019, and received by the manufacturing departmenton September 15, 2019. Actual production on the order began on October 15, 2019, and wascompleted November 15, 2019. Based on this information, calculate the following for this order:(a) total customer-response time (CRT), (b) order receipt time, (c) manufacturing lead (cycle)time, (d) manufacturing wait time, (e) manufacturing (processing) time, and (f) delivery time.(Hint: Refer to Exhibit 14.14 and accompanying discussion.) Use the DAYS function in Excel togenerate all answersHow many years (t) can we expect to do business with a customer? Thetotal number of years is denoted by T.The time from when a patient is discharged from NorthShore Hospital to the time the discharged patient’s bed isready to be assigned to a new patient is referred to as thebed assignment turnaround time. If the bed turnaroundtime is excessive, it can cause problems with patient flowand delay medical procedures throughout the hospital. Thiscan cause long waiting times for physicians and patientsthus creating customer dissatisfaction. The admissions RNhas assigned a patient care associate to measure the bedturnaround time for a randomly selected bed each morning,afternoon, and evening for 30 days. Following are the bedturnaround time sample observations:a. Develop an x-chart to be used in conjunction with anR-chart using 3 limits to monitor the bed turnaroundtimes and indicate if the process is in control usingthese charts.b. Is the hospital capable of consistently achieving bedturnaround times of 120 minutes 15 minutes withoutimproving the process?