**Transcription for Educational Website:**---**Scientific Research Corporation Office Apportionment**Scientific Research Corporation has offices in Boston and Chicago. The number of employees at each office is shown in the following table. There are a total of 22 vice presidents to be apportioned between the offices.| Office | Boston | Chicago ||----------|--------|---------|| Employees| 153 | 1220 |**(a) Apportionment Using the Hamilton Method**Use the Hamilton method to find each office’s apportionment of vice presidents.- Boston: [Input Box]- Chicago: [Input Box]**(b) Evaluating the New States Paradox**The corporation opens an additional office in San Francisco with 145 employees and decides to increase the total number of vice presidents to 24. If the vice presidents are reappointed using the Hamilton method, will the new states paradox occur? Explain:- ○ Yes. Boston lost a vice president and Chicago gained one.- ○ Yes. Chicago lost a vice president and Boston gained one.- ○ Yes. Both Boston and Chicago lost a vice president.- ○ No. Both Boston and Chicago gained a vice president.- ○ No. The number of vice presidents in Boston and Chicago remained the same.---**Explanation of Problem Context**This exercise involves the allocation of resources within an organization using mathematical methods. The Hamilton method, which is a form of apportionment, will be used to distribute the limited resource of vice presidencies based on the number of employees in each office. Furthermore, the addition of a new office introduces the potential for a scenario known as the "new states paradox," where redistribution could lead to counterintuitive changes in resource allocation.---

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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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The St. Louis Fighting Octogenarians is a local baseball team which currently has nineteen members. If only seven people can participate at the same time and positions are not considered, how many different groups of members can be selected?
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Explain and solve each problem
Scientific Research Corporation has offices in Boston and Chicago. The number of employees at each office is shown in the following table. There are 22 vice presidents to be apportioned between the offices. Chicago 1220 Office Boston Employees 154 (a) Use the Hamilton method to find each office's apportionment of vice presidents. Boston Chicago (b) The corporation opens an additional office in San Francisco with 145 employees and decides to have a total of 24 vice presidents. If the vice presidents are reapportioned using the Hamilton method, will the new states paradox occur? Explain. O Yes. Boston lost a vice president and Chicago gained one. O Yes. Chicago lost a vice president and Boston gained one. O Yes. Both Boston and Chicago lost a vice president. O No. Both Boston and Chicago gained a vice president. O No. The number of vice presidents in Boston and Chicago remained the same.
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