3. The police force is planning its manpower. During each 6 hour day, the police needs at least the mumber of police officers shown in the table. Police officers can be hired to work for either 12 consecutive hours or 18 consecutive hours. Police officers are paid $40 per hour for each of the first 12 consecutive hours they work and $60 per hour for each of the next 6 hours they work. Formulate a linear program to minimize the cost of meeting the daily police requirements. Time period 12 am to 6 am 6 am to 12 pm 12 pm to 6 pm pm to 12 am Police officers 12000 8000 6000 15000
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- 4. The seven-person maintenance function at a hospital performs both preventive and corrective maintenance on hundreds of items each month. All the workers are scheduled for 40 hours per week and there are four weeks in a month. It is the goal of the maintenance department to achieve 90% utilization with a mix of two-thirds preventive maintenance and one-third corrective maintenance. How many hours each monthOre spent performing preventive maintenance if they achieve their 90% utilization and correct/preventive mix targets? 6. Focus ר DELLA retail store sold in the month of April 5,000 products that produced $45,000 in sales. In the month of May the company sold 6,000 products. The store workforce consists of four full-time workers who work 40-hour week. In April the store also had seven part-time workers at 10 hours per week, and in May the store had nine part-timers at 15 hours per week (assume four weeks in each month). Using sales dollars as the measure of output (assume the price of the product was the same for both months), what is the percentage change in labor productivity from April to May? Answer: 2.4. The seven-person maintenance function at a hospital performs both preventive and corrective maintenance on hundreds of items each month, All the workers are scheduled for 40 hours per week and there are four weeks in a month. It is the goal of the maintenance department to achieve 90% utilization with a mix of two-thirds preventive maintenance and one-third corrective maintenance, How many hours each month are spent performing preventive maintenance if they achieve their 90% utilization and correct/preventive mix targets?
- A bank receives loan applications from 6 customers a day. The bank has promised customers that applications will be processed in the order they are received. The table below shows the applications in the order they were received, the processing time for each loan application, and the due date that customers need to hear about their application status: Customer Processing time (days) Due date (days) A 9 13 B 11 18 C 8 11 D 7 13 E 10 22 F 12 28 a. Determine the average processing time for applications, the average days tardy for each customer's application, and the average number of applications being processed if the bank processes the applications in the order they were received. (Round your answers to 2 decimal places.) Average flow time days Average tardiness days Average number of jobs applications b. The bank decides to improve their application processing performance by giving priority to the loans that take a shorter time to be processed (SPT).…JOHNSON’S RULE Five specialty jobs at a La Crosse, Wisconsin, tool and die shop must be processed through two workcenters (drill press and lathe). The time for processing each job follows:Work (processing) Time for Jobs (hours)JOBWORK CENTER 1(DRILL PRESS) WORK CENTER 2(LATHE)A5 2B3 6C8 4D 10 7E 7 12Harvesting Fruit Toward the middle of the harvesting sea-son, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the following data were recorded at a fruit delivery station:34 trucks went out carrying early peaches;61 carried late peaches;50 carried extra late;25 carried early and late;30 carried late and extra late;8 carried early and extra late;6 carried all three;9 carried only fgs (no peaches at all).(a) How many trucks carried only late variety peaches?(b) How many carried only extra late?(c) How many carried only one type of peach?(d) How many trucks (in all) went out during the week?
- Harvesting Fruit Toward the middle of the harvesting sea-son, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the following data were recorded at a fruit delivery station:34 trucks went out carrying early peaches;61 carried late peaches;50 carried extra late;25 carried early and late;30 carried late and extra late;8 carried early and extra late;6 carried all three;9 carried only fgs (no peaches at all). (a) How many trucks carried only late variety peaches?(b) How many carried only extra late?(c) How many carried only one type of peach?(d) How many trucks (in all) went out during the week? with a venn diagramCan you please help in solving the linear equation graphically with clear stepsA department has four subordinates, and four tasks to be performed. The subordinates differ inefficiency and the tasks differ in their intrinsic difficulty. His estimate of time each man wouldtake to perform each task is given in the matrix below.Job StaffTerry Jane Tom TarilJob A 18 26 17 11Job B 13 28 14 26Job C 38 19 18 15Job D 19 26 24 10Determine how the tasks should be allocated one to one man so as to minimize the total manhours
- Sally Mitchell works as a manager at an environmental organization. She is currently working on a global warming project and decides what tasks related to creating awareness about the issue need to be done. In addition, she is also deciding which members of her team will work on engaging with the public and which will work on lobbying with the government. She is also assigning people as team members to ensure that tasks are undertaken on time. Which of the following categories of functions is Mitchell undertaking? a. Planning. b. Scrutinizing. c. Envisioning. d. Organizing. e. Controlling.Tom Glass forecasts electrical demand for the FlatlandsPublic Power District (FPPD). The FPPD wants to take itsComstock power plant out of service for maintenance whendemand is expected to be low. After shutdown, performingmaintenance and getting the plant back on line takes twoweeks. The utility has enough other generating capacity tosatisfy 1,550 megawatts (MW) of demand while Comstockis out of service. Table 8.5 shows weekly peak demands(in MW) for the past several autumns. When next in year 6should the Comstock plant be scheduled for maintenance?Facts: A Chicago area manufacturing company (“JKL”) has 2 unrelated owners. The CPA firm (“Flexible”) for the manufacturing company prepares annual compiled financial statements and corporate tax returns (1120S). In addition, Flexible prepares the personal income tax returns for one of the owners – a different tax accountant prepares the personal income tax returns for the other owner. The Company has a December 31st year end. Toward the end of February each year, there is an annual meeting in the western suburbs, with the following in attendance: the 2 owners of JKL, Flexible’s CPA Partner, the tax accountant for the other owner, and pension consultants. In anticipation of the meeting, Flexible prepares and distributes draft financial statements, and a year to date General Ledger; everything is complete except the amount of any pension accrual and the final amount of inventory. The purposes of the meeting are to determine: the pension accrual the desired taxable income for the…