A college with five divisions has funds for 54 3-D printers. The student population for each division is shown in the table below.A726B1531 926D E1126 1091Total5400DivisionOriginal Populationa) Apportion the printers using Hamilton's method.b) Suppose that 1 year later the divisions have the following populations. If the college wishes to apportion 54 printers, does the population paradox occur using Hamilton's method?A726Total5454DivisionPopulation 1 Year LaterBCD1532 926 1126 1144a) Use Hamilton's method to apportion the 54 3-D printers using the original population.(Type whole numbers.)DivisionOriginal PopulationHamilton's ApportionmentABD726 1531 926 1126E Total1091 540054mail

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Answered: A college with five divisions has funds…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(11)
Use Alexander Hamilton's Method method to solve the following problems. 2. A group called Physicians Medical Organization provides 80 medical clinics. The organization has hired 80 doctors. Since the clinics do not serve all the same number of patients, the organization decides to apportion the 80 doctors based on the number of patients who visit each clinic in a given week. Use the table and the Hamilton's method for apportionment to determine how many doctors each clinic receives. Fill in the table below. Population Quota = Initial: Final population drop the decimal divisor Clinic A 412 Clinic B 263 Clinic C 337 Clinic D 481 Clinic E 187 Total 1680 Find the divisor. Show your work in the space provided below. Divisor
A small country consists of seven states; there are 160 seats in the legislature that need to be apportioned among the seven states; and the population of each state is shown below for the years 1990 and 1995. State A B C D E F G 1990 Population 1283 2374 2725 2155 1592 2511 2017 1995 Population 1347 2469 2847 2220 1640 2611 2078 Does the population paradox occur using Hamilton's method of apportionment? Select one: a. Yes b. No
A small country with a population of 8,000,000 consists of four states, A, B, C, and D. There are 160 seats in the legislature that need to be apportioned among the four states. The population of each state is shown in the table. Use the table to answer parts (a) and (b). State A D Total Population 1,987,000 2,155,000 917,000 2,941,000 8,000,000 ... a) Determine each state's modified quota using the divisor 49,400. State A В C D Total Population 1,987,000 2,155,000 917,000 2,941,000 8,000,000 Modified Quota (Round to the nearest hundredth as needed.)
(7)
A certain county consists of three towns: Town A, Town B, and Town C. Each year the social workers employed by the county are apportioned using Hamilton's method, among the three towns based K on the number of cases in each town over the previous calendar year. When the total number of social workers employed by the county is M-33, the apportionments of the social workers are 8 for Town A, 11 for Town B, and 14 for Town C. When M-34, the apportionments of the social workers are 7 for Town A, 12 for Town B, and 15 for Town C. Which peradox explains the changes in apportionments? Choose the corect answer below OA The Alabama paradox explains the changes because the apportionment to Town A decreased for no other reason than the fact that the county hired an additional social worker OB Balinski and Young's impossibility theorem explains the changes because the apportionment to Town A decreased for no other reason than the fact that a perfect apportionment method is a mathematical…
A small country is comprised of four states, A, B, C, and D. The population of each state, in thousands, is given in the following table 曲 State Population (in thousands) According to the country's constitution, the congress will have 31 seats, divided among the four states according to their respective populations. Use Hamilton's method to find each state's apportionment of congressional seats. B 108 186 264 372 108 m C 264 Total 930 372 State Population 186 Allocated seats 6 31 (Type an integer in each box. One of them has been done for you.) Total 930
A large corporation has found that it has “outgrown” its current code system for routing inter office mail. The current system places a code of three ordered, distinct nonzero digits on the mail. The new proposal calls for the use of two ordered capital letters. Does the new system have more code numbers than the old system? If so, how many more locations will the new system enable the company to encode over the current system?

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