3.6 Day 2: Optimization Problems

1) Find the volume of the largest open box that can be made from a piece of cardboard 2 feet square by

cutting equal squares from the corners and turning up the sides?

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Calculus: LUPO

3.6 Day 2 Notes

Name: ___________________________________

2) A small island is 2 miles from the nearest point P on the straight shoreline of a large lake. If a

woman on the island can row a boat 3 miles per hour and can walk 4 miles per hour, where should

the boat be landed in order to arrive at a town 10 miles down the shore from P in the least time?

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3) A rectangle has two corners on the x-axis and the other two on the parabola �=12−�2, with �≥0.

What are the dimensions of the rectangle of this type with maximum area?