Targeting Exercise Solution
p = 25 Y / R3
R = 5 1/3
R = 1.709 miles
The area enclosed by the 5 psi ring is: 1/4 R2 = 9.18 sq. miles.
To maximize the radius R, the bombs should be exploded as ground bursts.
1 bomb on:
It is clear to see that the best targeting strategy would be to attack City 1 until the area is covered. 300 sq. mi/ (9.18 sq. mi/bomb) = 32.6 bombs
Since your arsenal consists of only twenty bombs, they should all be targeted on City 1. Any bombs on the other cities would produce fewer casualties. Although a more realistic targeting plan would factor in the radiation effects. This would allow for fewer bombs on City 1.
A possible strategy is: