The oncology unit of Kansas General Hospital employs 30 registered nurses who provide nursing care in the morning, afternoon, and night shifts. Each shift needs to have 2 nurses, each shift needs to have one experienced and one novice nurse. A nurse can not work more than 2 consecutive shifts. Each nurse has the same number of working shifts. Every nurse needs to have the same amount of shifts during a month. Formulate an integer program using AMPL that minimizes the number of nurses in each shift.
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The oncology unit of Kansas General Hospital employs 30 registered nurses who provide nursing care in the morning, afternoon, and night shifts. Each shift needs to have 2 nurses, each shift needs to have one experienced and one novice nurse. A nurse can not work more than 2 consecutive shifts. Each nurse has the same number of working shifts. Every nurse needs to have the same amount of shifts during a month. Formulate an integer
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- Computer Science This is an introductory exercise to the manipulation of random variables with Python as a language for scientific computing and numerical computation. You have: f(x) = Ae-0.1x)° 4 x*, 0The great circle distance is the distance between two points on the surface of a sphere. Let (x1, y1) and (x2, y2) be the geographical latitude and longitude of two points. The great circle distance between the two points can be computed using the following formula: d = radius * arccos(sin(x 1) * sin(x 2) + cos(x 1) * cos(x 2) * cos(y1 - y2)) Write a program that prompts the user to enter the latitude and longitude of two points on the earth in degrees and displays its great circle distance. The average earth radius is 6,371.01 km. Note that you need to convert the degrees into radians using the math.radians function since the Python trigonometric functions use radians. The latitude and longitude degrees in the formula are for north and west. Use negative to indicate south and east degrees.Integer Linear Programming Exercise Please solve the following real-world problem: A businesswoman can travel to city A, city B, or city C. It is 122 miles to city A, 237 miles to city B, and 307 miles to city C. She can travel up to 3000 miles. Dining and other expenses are $95 in city A, $130 in city B, and $180 in city C. Her expense account allows her to spend $2000. A trip to city A will generate $800 in sales, while a trip to city B will generate $1300 and a trip to city C will generate $1800. How many trips should she make to each city to maximize sales? First, define variables x1, x2, x3, etc. Next, write equations and inequalities that show the constraints. Then, write the objective function. Please note that solving the problem requires integer linear programming because all variables have additional constraints of being integers, not real numbers. This is an NP-hard problem that cannot be solved by regular linear programming algorithms implemented in SciPy. You can solve the…The surface area S of a ring in shape of a torus with an inner radius r and a diameter d is given by: S = n²(2r + d)d The ring is to be plated with a thin layer of coating. The weight of the coating W can be calculated approxi- mately as W = ySt , where y is the specific weight of the coating material and t is its thickness. Write an anonymous function that calculates the weight of the coating. The function should have four input arguments, r, d, t, and y. Use the anonymous function to calculate the weight of a gold coating (y = 0.696 lb/in.³) of a ring with r = 0.35 in., d = 0.12 in., and t = 0.002 in. Function e C Reset I MATLAB Documentation 1 function W = myFunction(r,d,t,ga) 2 %Write code here 3 endPDO Company is offering a promotion at the end of the year to their employees. The promotion will be only for employees who worked for more than 10 years in the company. The promotion include increase in the employee salary. Write a python program to solve the above problem using fruitful function without parameters. The function performs as following: • Accept the number of years worked in the company. Accept the salary amount for each month. • Calculate the Year salary, Year salary = salary amount each month * 12 • Calculate the new salary after promotion. new_salary = Year salary + (Year salary * 0.25) • If the number of years worked in the company is greater than 10, Return new salary. • Otherwise, return Year salary. Sample output: Number of year work in the company 12 Salary amount for each month 1500 your salart will be 22500.0 Your are required to copy and paste the code in the given white area below the question. You need also to upload a word file with both the code and the…use c++ program A positive integer n is called prime if n > 1 and the only factors of n are 1 and n. It is known that a positive integer n > 1 is prime if n is not divisible by any prime integer m≤√n . The 1230th prime number is 10,007. Let t be an integer such that 2 ≤ t ≤ 100,000,000. Then t is prime if either t is equal to one of the first 1,230 prime numbers or t is not divisible by any of the first 1,230 prime numbers. Write a program that declares an array of size 1,230 and stores the first 1,230 prime numbers in this array. The program then uses the first 1,230 prime numbers to determine if a number between 2 and 100,000,000 is prime. If a number is not prime, then output at least one of its prime factors.The great circle distance is the distance betweentwo points on the surface of a sphere. Let (x1, y1) and (x2, y2) be the geographicallatitude and longitude of two points. The great circle distance between the twopoints can be computed using the following formula:d = radius X arccos(sin (x1) X sin(x2) + cos(x1) X cos(x2) X cos(y1 - y2))Write a program that prompts the user to enter the latitude and longitude of twopoints on the earth in degrees and displays its great circle distance. The averageradius of the earth is 6,371.01 km. Note you need to convert the degrees into radiansusing the Math.toRadians method since the Java trigonometric methods useradians. The latitude and longitude degrees in the formula are for north and west.Use negative to indicate south and east degrees. Here is a sample run: Enter point 1 (latitude and longitude) in degrees: 39.55 −116.25 ↵EnterEnter point 2 (latitude and longitude) in degrees: 41.5 87.37 ↵EnterThe distance between the two points is…Rolling a single six-sided die produces a random number between 1 and 6 with a uniform distribution. Rolling two dice produces a number between 2 and 12 with a binomial distribution. In this lab you will simulate a number of dice rolls and graph the number of occurrences of each value. 1) Create a function called rollDie() that takes no parameters, and returns a random value between 1 and 6. Do not seed the random number generator in this function. int rollDie() 2) Create a function called initArray() that takes a data array and the size of the array as parameters and fills each element with the summed results of rolling two dice. Do not assume that the data array has been initialized. void initArray(int data[], int size) 3) Create a function called sortArray() that takes an array and the size of the array as parameters, and sorts the array using the sediment sort. void sortArray(int data[], int size) The sediment sort works as follows: start with the second element in the array if…38. The geometric mean g of n numbers x; is defined as the nth root of the product of x;: g=Vx1x2X3•…Xn (This is useful, for example, in finding the average rate of return for an investment which is something you'd do in engineering economics). If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)") Compute this.python help Write function pay() that takes as input an hourly wage and the number of hours an employee worked in the last week. The function should compute and return the employee’s pay. Overtime work should be paid in this way: Any hours beyond 40 but less than or equal 60 should be paid at 1.5 times the regular hourly wage. Any hours beyond 60 should be paid at 2 times the regular hourly wage. Use if-elif-else to solve and pay attend to the order. Remember to include the docstring and comments. A sample of running the function is shown below. >>> pay(10, 35) 350 >>> pay(10, 45) 475 >>> pay(10, 61) 720A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to rotate around the sun. To account for the difference in time, every 4 years, a leap year takes place. A leap year is when a year has 366 days: An extra day, February 29th. The requirements for a given year to be a leap year are: The year must be divisible by 4 If the year is a century year (1700, 1800, etc.), the year must be evenly divisible by 400 Some example leap years are 1600, 1712, and 2016. Write a program that takes in a year and determines whether that year is a leap year. Ex: If the input is 1712, the output is: 1712 is a leap year. Ex: If the input is 1913, the output is: 1913 is not a leap year. 1 2 3 4 5 6 7 8 9 10 11 Put("{} is a leap year.".format(i_year)) print("{} is not a leap year.".format(i_year)) inputYear = Get next input What would be the code?PYTHON QUESTION : The Syracuse sequence of an integer N is the sequence of integers starting with the term N, where each following term is half of the preceding term if it is even, and one plus three times the preceding term if it is odd. The sequence ends when it reaches the integer 1. The maximum of the Syracuse sequence of an integer N is the highest number reached by this sequence. This maximum can sometimes be very high compared to the starting integer N. What is the maximum of the Syracuse sequence of 3428767? To answer this question it is useful to modify the code given in demonstration which calculates the Syracuse sequence. The code given in the demo : n = 27 print(n) while n != 1: if n%2 == 0: n = n // 2 # where n //= 2 or n >>= 1 else: n = 1 + 3*n print(n)SEE MORE QUESTIONS