A college offers tutoring in Math, English, Chemistry, and Biology. The number of students enrolled in each subject is listed below. The college can only afford to hire 19 tutors.Using Huntington-Hill's method determine the initial geometric means and the initial allocations with the standard divisor.Finish the apportionment.

Subject: Students Enrolled Initial Geometric Mean Initial Allocation

Math 280 ________ ________

English 235 ________ ________

Chemistry 130 ________ ________

Biology 60 ________ ________

The number of salespeople assigned to work during a shift is apportioned based on the average number of customers during that shift.Apportion 21 salespeople using Webster's method given the information below.

Shift Morning Midday Afternoon Evening

Average number of customers 90 310 405 500

Salespeople to assign ____ _____ _____ ______

The legislature in a state has 59 seats.Apportion these seats to the five counties below using Jefferson's method.

County Population Seats Received

Adams 361,000 _________

Grant 87,000 _________

Colton 346,000 _________

Davis 487,000 _________

Hayes 203,000 _________

A college offers tutoring in Math, English, Chemistry, and Biology. The number of students enrolled in each subject is listed below. If the college can only afford to hire 18 tutors, determine how many tutors should be assigned to each subject using Hamilton's method.

Subject Students Enrolled Tutors to Assign

Math 300

English 240

Chemistry 150

Biology 50

Chasity, Laura, Gabrielle, and Chelsea are dividing a piece of land using the lone-divider method. The values of the four pieces of land in the eyes of the each player are shown below

Piece 1 Piece 2 Piece 3 Piece 4

Chasity 20% 27% 33% 20%

Laura 23% 28% 23% 26%

Gabrielle 22% 15% 39% 24%

Chelsea 25% 25% 25% 25%

If playing honestly, what will Chasity's declaration be?

piece 1

piece 2

piece 3

piece 4

Which piece will chastity receive?

Which piece will Chelsea receive?

Four heirs (A, B, C, and D) must fairly divide an estate consisting of two items - a desk and a vanity - using the method of sealed bids. The players' bids (in dollars) are:

A B C D

Desk 240 220 300 320

Vanity 220 100 160 200

The original fair share of A is worth: $______

In the initial allocation, player A: select below

gets the desk & vanity

gets the vanity

gets no items

gets the desk

and pays to ?

gets from? the estate $_________

After all is said and done, in the final allocation, player A: select below

gets the desk & vanity

gets the vanity

gets no items

gets the desk

and pays to?

gets from? the estate $_________