(Applications of Maxima and Minima Using an Auxiliary Variable)
A man on an island 12 mi. south of a straight beach wishes to reach a point on shore 29 mi. east. If a motorboat, making 20 mi. per hr., can be hired at the rate of $2.00 per hr. for the time it is actually used, and the cost of land transportation is $0.06 per mi., how much must he pay for the trip.
Answer with diagram is given below:
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