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Write a program that asks the user for an angle, entered in degrees. The program should
then display the sine, cosine, and tangent of the angle. (Use the sin, cos, and tan library functions to determine these values.) You must convert the angle into radians (angle *
3.14/180)
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- TRUE OR FALSE In Simplex Method, the pivot element should be changed to 1 in the formulation of the next table.Consider the problem of calculating the median m of the following numbers: 4,5,9. (a) Write down the linear program that you could solve, to find the median m. Then put this LP in the form: min c^T x s.t. Ax ≥ b, x ≥ 0, where x is your list of variables. (b) Now write down the dual of the problem above. Call the list of dual variables y. (Hint: there are 6 components of y.)Based on Kolesar et al. (1974), Metropolis PD Precinct 88 must determine the minimum number of police cars required to meet its needs for the next 24 hours. An average call for service requires 30minutes. The number of calls the police department expects to receive during each hour is shown in the file P12_61.xlsx. The Metropolis PD standard of service is that there should be a 90% chance that a car is avail-able to respond to a call. For each of the following,discuss how you might find a solution.a. Suppose that patrol officer teams assigned to a car work an 8-hour shift beginning at 12 a.m., 8 a.m., or 4 p.m. Officers get an hour off for a meal. This hour can be anytime between the second and fifthhour of their shift. The precinct wants to know how many teams are needed to meet daily demand.b. Suppose that patrol officer teams assigned to a car begin their 8-hour shifts at 12 a.m., 8 a.m., 12 p.m., 4 p.m., and 8 p.m. An hour off for meals may be taken anytime during a shift. The…
- Please make a comment on the following statement. There are many business applications with linear functions and non-linear functions. Some people think that linear models are particularly of interest due to simplicity and convenience, but some people believe that nonlinear models can simulate business operations better in practice, enabling business professionals to make more accurate decision.44. US Airlines receives an average of 500 calls per hourfrom customers who want to make reservations, wherethe times between calls follow an exponential distribution. It takes an average of three minutes to handleeach call. Each customer who buys a ticket contributes$100 to US Airlines profit. It costs $15 per hour tostaff a telephone line. Any customer who receives abusy signal will purchase a ticket from another airline. How many telephone lines should US Airlineshave? Base your answer on an appropriate simulation.Does it matter whether the service times are exponentially distributed or gamma distributed? Experimentto find out.The Decision Sciences Department is trying todetermine whether to rent a slow or a fast copier. Thedepartment 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 tocomplete copying. The fast copier rents for $15 per hour,and it takes an employee an average of six minutes tocomplete copying. On average, four employees per hourneed to use the copying machine. (Assume the copyingtimes and interarrival times to the copying machineare exponentially distributed.) Which machine shouldthe department rent to minimize expected total cost perhour?
- Lynn Jennings is the IT manager at Lazy Eddie, a chain that specializes in beanbag chairs and recliners. She asked Jan Lauten, a senior systems analyst, to review the large number of printed reports that are distributed to Lazy Eddie’s 35 store managers. “Jan, I just can’t believe that our people really read all of those reports,” Lynn said. “We constantly add new reports, and we never seem to eliminate the old ones. Sometimes I think all we’re doing is keeping the paper companies in business!” Jan replied, “I agree, but what can we do? The managers say they want the reports, but I always see them stacked on top of file cabinets. I’ve never seen anyone read a report.” “I have an idea,” Lynn said. “I want you to come up with a procedure that requires users to review and justify their information needs to see if they really use the reports we send them. You could design a form that asks if the information still is required, and why. Try to get users to decide if a report is worth the…Which of the following statements is correct regarding the EMH form? Select one: None of the answers are correct If the market is weak-form efficient, then it is also semistrong and strong-form efficient. If the market is semistrong form efficient, then it is also strong form efficient If a market is strong-form efficient, it is also semistrong and weak form efficient If the market is strong-form efficient, it is also semistrong but not weak-form efficientThe Decision Sciences Department is trying todetermine whether to rent a slow or a fast copier. Thedepartment believes that an employee’s time is worth $15per hour. The slow copier rents for $4 per hour and it takesan employee an average of 10 minutes to complete copying(exponentially distributed). The fast copier rents for $15 perhour and it takes an employee an average of 6 minutes tocomplete copying. An average of 4 employees per hour needto use the copying machine (interarrival times areexponential). Which machine should the department rent?
- The_______ _______ are the numbers we use in each problemThere are 2657 professors in a college out of which one ofthem has to be selected for promotion through a game.Everyone will sit in a circle with numbered chairs. Each ofthem will evict the professor to his left, starting from the firstchair, and this cycle will go on until one last professor is left.Now you are one of the professors, which chair would youpick to ensure you get promoted?Bad simulations Explain why each of the followingsimulations fails to model the real situation properly:a) Use a random integer from 0 through 9 to representthe number of heads when 9 coins are tossed. b) A basketball player takes a foul shot. Look at a ran-dom digit, using an odd digit to represent a good shot and an even digit to represent a miss.c) Use random numbers from 1 through 13 to represent thedenominations of the cards in a five-card poker hand.