Math Worksheet 3.6 Optimization Page 5
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10Calculus Maximus
WS 3.6: Optimization
9. Suppose the same farmer from Question 8 has to build a pig
pen in a triangular shape bounded by a 12 foot stretch of river,
a 9 foot stretch of wall, and a 15 foot stretch of forest (shown
at right). Find the dimensions of the pen that he can build that
maximizes the area enclosed by the fence.
10. We want to construct a box whose base length is 3 times the base width. The material used to build the
top and bottom cost $10 per square foot and the material used to build the sides cost $6 per square
foot. If the box must have a volume of 50 cubic feet, determine the dimensions that will minimize the
cost to build the box.
Page 5 of 10
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