Suppose that States \(T, U\), and \(V\) annex State \(W\) and increase the house size proportionately.

a. Calculate the standard divisor based on the original house size and only States T, U, and V.

b. Use the Hamilton method to apportion the seats to \(T, U\), and \(V\).

c. Determine the new house size when State \(\mathrm{W}\) is annexed.

d. Calculate the standard divisor based on the new house size.

e. Use the Hamilton method to reapportion the seats.

f. Does the new-states paradox occur? (Refer to part b.)

Use the information in the table below.

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State Population Original House Size New House Size A 627 B 1,287 25 C 973 D 815 E 520 F 1,510 50 G 1,060 H 950 P 1,222 100 Q 473 R 225 K 1,688 L 7,912 48 M 1,448 T 150 U 250 > 32 22 h m 350 50 W W 450