Question 2

You’re planning on making 6 meatloafs for a party. You go to the store to buy breadcrumbs, and see they are sold by the canister. What information do you need to figure out how many canisters to buy? Select all that apply. (this would be an essay question on the real exam)

A.How long it takes to make the recipe.

B.The amount of bread crumbs required for the recipe, times 6.

C.The amount of bread crumbs contained in each canister.

D.The other ingredients required for the recipe.

E.The amount of meat required for the recipe.

F.The amount of bread crumbs needed in other recipes.

QUESTION 3

You plan to make 8 pecan pies, all of which require 1 1/2 cups of pecans. You buy the pecans from the bulk section, where there is a scale to weigh them, but no measuring cups. According to the label, 1 cup of pecans weighs 98 grams. How many grams of pecans do you need to make all the pies? Round to the nearest 10th if necessary. Remember to label.

ANSWER:

QUESTION 4

Lambert created a triangular garden on his property. Two of the sides have the same length, while the final side is twice as long as they are. How long are the shorter sides if he needed 88 feet of fencing to enclose the garden?

ANSWER:

QUESTION 5

When Samantha first checked the price of an adjustable bed online, it was $800. Several months later, the price had dropped to $500. Find the absolute change (include a negative sign if applicable). $ANSWER

QUESTION 6

When Samantha first checked the price of an adjustable bed online, it was $800. Several months later, the price had dropped to $500. Find the relative (include a negative sign if applicable). ANSWER%

QUESTION 7

A recipe normally calls for 3/4 cup sugar, 2 Tablespoon baking powder, 1/2 cup milk, and 2 cups flour. Val only has 1 1/2 cups flour, and doesn’t have time to run to the store just now. How much of the other ingredients should he use?

Reminder: there are 16 Tablespoons in 1 cup, and 3 teaspoons in 1 Tablespoon

Use this preference schedule for the questions on this page.

QUESTION 8

Who wins by the Plurality Method?

A.C

B.B

C.A

D.D

QUESTION 9

Enter the number of points B would get using the Borda Count method.

ANSWER:

QUESTION 10

Who wins by the Borda Count Method?

A.B

B.C

C.A

D.D

QUESTION 11

Who gets eliminated first using Plurality with Elimination (aka Instant-Run-Off Voting)?

A.C

B.D

C.B

D.A

QUESTION 12

Who wins by Plurality with Elimination?

A.C

B.A

C.D

D.B

QUESTION 13

Who wins by Copeland’s Method (Pairwise Comparisons)?

A.A

B.C

C.D

D.B

QUESTION 14

Is the winner by Copeland’s Method a Condorcet Candidate?

A.Yes. Anyone who wins by Copeland’s Method is the Condorcet Candidate

B.No. While that candidate won, they did not beat every other candidate.

C.No. Copeland’s method has nothing to do with the Condorcet Candidate.

D.Yes. That candidate beat every other candidate when compared directly.

QUESTION 15

Which methods (if any) violated the Condorcet criterion for this schedule? Select all that apply.

A.Plurality with Elimination

B.None. There was a Condorcet Candidate, but that candidate won with every method.

C.Copeland’s Method

D.Borda Count

E.None. There was no Condorcet Candidate.

F.Plurality

QUESTION 16

Match each description with the correct fairness criterion condition.

QUESTION 17

Consider the voting scheme below:

{12: 8, 4, 1, 1, 1}

Which of the options below is accurate for this system?

A.Player 1 is a dictator, and the other players are dummy players.

B.Only Player 1 has veto power.

C.Player 1 and Player 2 both have veto power, but the other players can still matter.

D.Player 1 and Player 2 both have veto power, and the remaining players are dummy players.

QUESTION 18

Consider the voting system: {8: 4, 2, 2, 2}

How much power does player 1 have by Banzhaf’s Method? Enter your answer as a percent. Round to the nearest whole percent if necessary. ____ %

(Hint: there are 4 winning coalitions)

ANSWER:

QUESTION 19

Consider the voting system: {8: 4, 2, 2, 2}

How much power do players 2, 3, and 4 each have by Banzhaf’s Method? Enter your answer as a percent. Round to the nearest whole percent if necessary. ANSWER%

(Hint: there are 4 winning coalitions)

QUESTION 20

Consider the voting system: {8: 4, 4, 2}

How much power do players 1 and 2 each have by the Shapley Shubik Method? Enter your answer as a percent. Round to the nearest whole percent if necessary. ____ %

Here are the sequential coalitions for 3 players:

< P1, P2, P3 > < P1, P3, P2 > < P2, P1, P3 >

< P2, P3, P1 > < P3, P1, P2 > < P3, P2, P1 >

ANSWER:

QUESTION 21

Consider the voting system: {8: 4, 4, 2}

How much power does player3 have by the Shapley Shubik Method? Enter your answer as a percent. Round to the nearest whole percent if necessary. ____ %

Here are the sequential coalitions for 3 players:

< P1, P2, P3 > < P1, P3, P2 > < P2, P1, P3 >

< P2, P3, P1 > < P3, P1, P2 > < P3, P2, P1 >

ANSWER:

SAMPLE ASSIGNMENT

Sample-2