A college student works in both the school cafeteria andlibrary. She works no more than 12 hours per week at thecafeteria, and no more than 16 hours per week at thelibrary. She must work at least 20 hours each week. Writea system of inequalities that describes all the givenconditions.Write a system of inequalities letting x= number of hoursworked at the cafeteria per week and y = number of hoursworked at the library per week.x+yz x≤ ys

To write: The system of inequalities that describe all the given condition. Given: The number of…

Answered: A college student works in both the…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 = average; 4 = bad. The weekly revenue earned by a machine in state 1, 2, 3, or 4 is 100, 90, 50, or 10, respectively. After observing the condition of the machine at the beginning of the week, the company has the option, for a cost of 200, of instantaneously replacing the machine with an excellent machine. The quality of the machine deteriorates over time, as shown in the file P10 41.xlsx. Four maintenance policies are under consideration: Policy 1: Never replace a machine. Policy 2: Immediately replace a bad machine. Policy 3: Immediately replace a bad or average machine. Policy 4: Immediately replace a bad, average, or good machine. Simulate each of these policies for 50 weeks (using at least 250 iterations each) to determine the policy that maximizes expected weekly profit. Assume that the machine at the beginning of week 1 is excellent.
When you work for a business that pays on an hourly basis, you are usually required to keep a time card. The time card shows the time you reported for work and the time you departed each day. Total Hours = Sum of Daily Hours Compute the hours worked for each day on the time cards. Round each half of the day to the nearest quarter hour What are the total hours for the week? What is the total pay for the week? 1. DATE TEMPORARY EMPLOYEE TIME CARD NAME. Amanda Tacket OUT IN OUT HOURS 9/137.00 11:00 11.30 4.45 9/14 8.10 11 35 12.30 4.35 9/15 8:10 12.00 12:40 4.10 9/16 8.20 11.50 12 50 450 9/17 7:06 11:09 1150 3:30 EMPLOYEE SIGNATURE RATE per hour $8.50 TOTAL HOURS: DEPT. Accounting Note. No overtime rate. IN
A recurring maintenance job in a factory is being done by a three-man crew. Due to the nature of the job and space limitations, it was observed that two of the men were idle 37% of the time; one of the men was also idle an additional of the time, and at any given time only one man was required. The men were each paid P24.00 per hour. Each time the job was performed a set of tools and equipment with a value equivalent to P36.00 per hour was used. If the three-men crew could complete the work in 5 hours, which crew size would be the most economical
Company X has 1000 employees. Last month, 100 worker-days are lost through job absence due to sickness, and another 100 worker-days are lost through job absence due to other reasons. There were 25 scheduled working days last month. What is the absenteeism rate for last month?
A company that operated 10 hours a day manufactures two products on three sequential processes. The following table summarizes the data for the problem: Which of the following is the most appropriate representation for variables x and y for the given situation? a.) x is the # of units of Product 1 to be procured; y is the # of units of Product 2 to be procured. b.) x is the # of units of Product 1 to be produced; y is the # of units of Product 2 to be produced. c.) x is the # of units of Product 1 to be stored; y is the # of units of Product 2 to be stored d.) x is the # of units of Product 1 to be delivered; y is the # of units of Product 2 to be delivered.
The employee turnover can be computed as:a. Number of new employees recruited per year/Average number of employeesb. Average number of employees/Number of new employees recruited per yearc. 1/2 × Average time an employee spends with the companyd. 1/2 × Number of new employees recruited per year
2) A call center manager is willing to analyze the workload of his clerks that answers to incoming calls. He analyzes the empirical data using goodness of fit test and finds that the incoming calls per day, per clerk follows Poisson distribution with parameter å = 35.6. In order to motivate his employee, he designs the following bonus system: any employee who answers more than 22 calls per day receives $1.2 extra payment on top of the regular daily salary, which is equal to $45. a. What is the expected amount of total payment received by a call center clerk? b. If the call center has 2 employees, and it receives a revenue of $3.6 for each call, calculate the expected monthly profit of the call center.
1) An operator is used for loading and unloading of parts to automated machines. Loading time is 1 minute; unloading time is 2 minutes, machining time is 30 minutes, Operator travel time between the machines including the inspection time is 4 minutes. Cost of operator is C₁=40 TL/Hour, cost of a machine is C₂-200 TL/Hour. What is the cost per unit of production if optimum number of machines is assigned to the operator? (Note: Times are given in minutes and costs are per hour) a) 231 TL/unit b) 6930 TL/unit c) 115.5 TL/unit d) 240 TL/unit e) 132 TL/unit 2) An operator is used for loading and unloading of parts to automated machines. Loading time is 1 minute; unloading time is 2 minutes, machining time is 30 minutes; Operator travel time between the machines including the inspection time is 4 minutes. Cost of operator is C1=40 TL/Hour; cost of a machine is C₂=200 TL/Hour. How many machines (integer number) should be assigned to the operator so that the total operator and machine costs…
As an analyst, we would like to perform a work sampling study on an assembly line. The jobs can bedifferentiated on the basis of the product size: A, B, and C. We perform a study over a five-week periodthat equals to 200 working hours. There are 12 workers to be examined. In total, we perform 1140observations. Yet, the worker absences lead to 15 worker-day deduction from the total working hourswhere workers work 8 hour each day. The study results are tabulated below. Q: What is the mean assembly time per product unit for size C in terms of hour?a) 0,1136b) 0,0251c) 0,3015d) 0,7537e) 0,0661
As an analyst, we would like to perform a work sampling study on an assembly line. The jobs can bedifferentiated on the basis of the product size: A, B, and C. We perform a study over a five-week periodthat equals to 200 working hours. There are 12 workers to be examined. In total, we perform 1140observations. Yet, the worker absences lead to 15 worker-day deduction from the total working hourswhere workers work 8 hour each day. The study results are tabulated below. Q: For the C size product, construct a 96% confidence interval about the mean assembly time per productin terms of hours.a) (0,3702 0,4298)b) (0,4004 0,3996)c) (0,1805 0,1209)d) (0,3746 0,4254)e) (0,1253 0,1761)
A machine shop manufactures two types of bolts. The bolts require time on each of the three groups of machines, but the time required on each group differs, as shown in the table below. Type I Type IIMachine 1 0.2 min 0.2 minMachine 2 0.6 min 0.2 minMachine 3 0.04 min. 0.08 min Production schedules are made up one day at a time. In a day, 300, 720, and 100 minutes are available, respectively, on these machines. Type I bolts sell for 15¢ and type II bolts for 20¢. (a) How many of each type of bolt should be manufactured per day to maximize revenue?(b) What is the maximum revenue?(c) Suppose the selling price of type I bolts began to increase. Beyond what amount would this price have to increase before a different number of each type of bolts should be produced to maximize revenue?
The AER company operates 24 hours a day. The performance measures of the production equipment used for 1 month are as follows: -Open time is 30 days -The expected time of non-availability of production equipment is 97 hours -The Unplanned hardware downtime is 25.5 hours - Hardware downtime attributable to employee delays is 2817 minutes - Equipment downtime due to power outages is 4578 minutes ' Determine the efficiency rate and the utilization rate of production equipment

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