Answer to Question #64603 in Calculus for Aron

Question

16. The top and bottom margins of a poster are each 6 cm, and the side margins
are each 4 cm. If the area of the printed material on the poster (that is,
the area between the margins) is fixed at 384 cm2, find the dimensions of the
poster with the smallest total area.

17. Each rectangular page of a book must contain 30 cm2 of printed text, and each
page must have 2 cm margins at top and bottom, and 1 cm margin at each
side. What is the minimum possible area of such a page?

18. Maya is 2 km offshore in a boat and wishes to reach a coastal village which
is 6 km down a straight shoreline from the point on the shore nearest to the
boat. She can row at 2 km/hr and run at 5 km/hr. Where should she land
her boat to reach the village in the least amount of time?