Merlin Park Hospital has 4 scan machines and 4 patients to scan. Each machine must be assigned to complete 1 scan. Each patient must be scanned only once by 1 machine. The time required for each machine to scan each patient is provided in the table below. Time (minutes) Patient 1 Patient 2 | Patient 3 Patient 4 Machine 1 42 15 24 21 Machine 2 36 18 15 Machine 3 21 24 9 27 Machine 4 12 18 30 Formulate the linear programming model of the assignment problem.
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- fi Auto mobile company manufactures cars and trucks. Each vehicle must be processed in the paint shop and body assembly shop. If the paint shop were only painting trucks, then 80 per day could be painted. If the paint shop were only painting cars, then 120 per day could be painted. If the body shop were only producing cars, then it could process 100 per day. If the body shop were only producing trucks, then it could process 100 per day. Each truck contributes GHS60,000 to profit, and each car contributes GHS40,000 to profit. Use linear programming to determine a daily production schedule that will maximize the company’s profits.During an eight-hour shift, 750 non-defective parts are desired as a result of a manufacturing operation. The default operation time is 15 minutes. As the operators of machine are inexperienced, the actual time they take to perform the operation is 20 minutes, and, on average, a fifth of the parts that start to be manufactured are lost. Assuming that each one of the machines used in this operation will not be available for one hour in each shift, determine the number of machines needed.establish the significance of random numbers in Monte Carlo simulations.
- A large building may require an automated alarm system which monitors and controls all fire and security alarms in the building. Normally, the building is divided into zones and a number of alarms are associated with each zone. Alarms alert a central manned control area who may pass these on to the emergency services or may respond personally.Factors which have to be taken into account in building such a system are:Ø If the control area is unmanned and an alarm is activated this alarm should not be ignored if it is potentially serious. Emergency services should be automatically called.Ø Some but not all parts of the building may be equipped with sprinkler systems or systems to shut down electrical equipment. These should be activated if a fire alarm is confirmed. They should not be activated if there are people in the same room.Ø The building may be equipped with direction indicators which illuminate the route to the nearest exit. These should be activated when a fire alarm is…Subject: FUNDAMENTALS OF BUSINESS ANALYTICS Problem: The Supermarket contains over 14,000 transactions made by supermarket customers over a period of approximately two years. (The data are not real, but real supermarket chains have huge data sets just like this one.) A small sample of the data appears in in the Figure below, Column B contains the date of the purchase, column C is a unique identifier for each customer, columns D–H contain information about the customer, columns I–K contain the location of the store, columns L–N contain information about the product purchased (these columns have been hidden to conserve space), and the last two columns indicate the number of items purchased and the amount paid. Question: Based on the given problem and picture provided, determine which variables are categorical and numerical?The Decision Sciences Department is tyring to determine whether to rent a slow or fast copier. The department believes that an employee's time is worth $15/hour. The slow copier rents for $4/hr, and it takes an employee an average of 10 minutes to complete copying. The fast copier rents for $15/hr, and it takes an employee an average of 6 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? Please note this class revolves around Microsoft Excel so the answer I need needs to show the formulas in Excel, along with any corresponding graphs, etc. Thank you in advance!
- Explain the basic relationship between the exponential distribution and a Poisson process. Also, explain how the exponential distribution and the Poisson distribution are fundamentally different.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)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? Worst to slow copier. Better to slow copier. Worst to fast copier. Better to slow copier. A) B) C) D) Answer O A D
- 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? A) B) C) D) Worst to slow copier. Better to slow copier. Worst to fast copier. Better to slow copier. AnswerThe 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 shouldthe department rent to minimize expected total cost per hour?According to the XYZ Apartment Rental Company ER diagram, which of the following is true? Each building must have more than one builder Each building must have multiple apartments Each building must have at least 8 apartments Each building must have more than 2 apartments Answer: ____