Chapter 2, Problem 24RE

(a)

To determine

To calculate: The stockpiles in each of the next two years, if in an arm race is held between two superpowers, each nation stores its own enemy’s nuclear arsenal each year and has a policy of undoing a certain percentage of its stockpile each year and adding that same percentage of its competitor’s stockpile.

Nation A has $10,000$ weapons and undoes $20\%$ and nation B has $7,000$ weapons and undoes $10\%$.

(b)

To determine

To calculate: The stockpiles in each of the preceding two years, if in an arm race which is held between two superpowers, each nation stores its own enemy’s nuclear arsenal each year and has a policy of undoing a certain percentage of its stockpile each year and adding that same percentage of its competitor’s stockpile.

Nation A has $10,000$ weapons and undoes $20\%$ and nation B has $7,000$ weapons and undoes $10\%$.

(c)

To determine

To prove: That the missile gap is decreased by $30\%$ each year also show that the total number of weapons decreases each year if nation A has most weapons and the total number of weapons increases if nation B has most weapons.

An arm race is held between two superpowers, each nation stores its own enemy’s nuclear arsenal each year and has a policy of undoing a certain percentage of its stockpile each year and adding that same percentage of its competitor’s stockpile. Nation A has $10,000$ weapons and undoes $20\%$ and nation B has $7,000$ weapons and undoes $10\%$.