mymathlab test answers

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There are questions in the test:
Fill in the blank so that the resulting statement is true.
If a candidate wins an election and, in a recount, the only changes are that one or more of the other candidates are removed from the ballot, then that candidate should still win the election. This criterion is called the _______ criterion.
Fourteen members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Greenburg (G), Haskins (H), and Vazquez (V). The preference table follows. Determine the winner using the Borda count method.
Members of a music club are choosing a new club logo. The choices are a guitar (G), a keyboard (K), and a musical note (N). Each member ranks three choices from first to third. The preference table below shows the results of the ballots. How many members voted?
A soup company is selecting a spokesperson for its advertisements from candidates B, S, and P. A straw vote is taken to gauge the reactions to the candidates. The results are given in the following preference table.
When an increase in the total number of items to be apportioned results in a loss of an item for a group
A large hotel chain needs to apportion 24 new surfboards for its visitors to rent among three hotels based on the numbers of rooms in each hotel as shown below.
A family is trying to decide whether to go to Chicago (C), Nashville (N), or Ocean City (O) on their summer vacation. The two parents,
seven children, and four grandparents rank their three choices according to the following preference table. Determine the winner using the pairwise comparison method.
Members of the board of directors of an association are voting to select a city to host their annual meeting. The board is considering the following cities: city L, city N, and city B. The preference table for the 17 members of the board of directors is shown to the right. Show that the Borda count method violates the majority criterion.
A university is made up of five colleges: Arts and Sciences, Engineering, Business, Education, and Visual and Performing Arts. There are
190 scooter rental stations to be apportioned among the five colleges based on their enrollment shown below. Use Webster's method to apportion the trains. The standard divisor is 58
The total population under consideration divided by the number of items to be allocated is called the standard
78 voters are asked to rank four brands of cereal: A, B, C, and D. The votes are summarized in the following preference table. Determine the winner using the Borda count method.
A professional tackle football league is considering four cities for expansion: city S, city L, city H, and city T. The 28 current owners rank the four candidates according to the following preference table. Determine the winner using the plurality with elimination method.
A college with five divisions has funds for
54 3-D printers. The student population for each division is shown in the table below.
a) 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?
The university administration has asked a group of student leaders to vote on the aspects of college life to target for improvement over the next year. The choices were (H)ousing, (L)ibrary, (T)heater, and (F)itness center. The votes are summarized in the preference table.
The preference table for an election is given. Suppose that the plurality with elimination method is used to determine the winner. Is the head-to-head criterion satisfied?
Fifteen members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Greenburg (G), Haskins (H), and Vazquez (V). The preference table follows.
The university administration has asked a group of student leaders to vote on the aspects of college life to target for improvement over the next year. The choices were (H)ousing, (L)ibrary, and (T)heater. The votes are summarized in the preference table.
A boat manufacturer has 146 new boats of a new model to be apportioned to four dealerships. The manufacturer decides to apportion the boats based on the number of boats each dealership sold in the previous year. The number of boats sold by each dealership is shown below.