Differential Calculus Sample Problems

Sample Problems

Differential Calculus

Maximuma / Minima Problems

Problem

A man on an island 12 miles south of a straight beach wishes to reach a point on shore 20 miles east. If a motorboat, making , 20 miles per hourcan be hired at a rate of $2.00 per hour for the time it is actually used, and the cost of land transportation is $0.06 per mile, where must the man land (measured from the destination point) to minimize the cost of transportation?

A. 8 miles C. 10 miles

B. 9 miles D. 11 miles

Watch the Video (GERTC +)