Optimization Worksheet 3.6 With Answers - Calculus Maximus Page 8
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10Calculus Maximus
WS 3.6: Optimization
15. A ladder (with Korpi on the rungs) is to reach over a fence 8 feet
high to a wall one foot behind the fence. This will allow Korpi
access to a window where a dastardly student awaits to drop a
calculus book on his head. What is the length of the shortest
ladder that can be used? Assume a black cat will be beneath the
ladder.
16. Jenna wants to build a motel for her pet ladybugs. She envisions a six-room motel to be built with the
floor plan shown. Each room is to have 350 square inches of floor space, bits of cracker crumbs, a
whirlpool ladybug spa, a lamp with a burned-out bulb, and a picture of Hannah Montana on the wall.
What dimensions should the rooms be in order to have
the minimum total length of walls to build? All rooms
are identical in size and have walls painted Red. You
may use your calculator to graph the derivative.
Page 8 of 10
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