Unit Five (Part 1) Ap Calculus Take-Home Packet 5 Optimization Math Worksheet Page 8
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8Unit Five (Part 1)
AP Calculus Take-Home Packet
Optimization
EXTRA CREDIT PROBLEM
This is the infamous Question 6 on the 1982 AP Exam, which was the focus of the movie Stand and
Deliver.
A tank with a rectangular base and rectangular sides is to be open at the top. It is to be constructed so that
its width is 4 meters and its volume is 36 cubic meters. If building the tank costs $10 per square meter for
the base and $5 per square meter for the sides, what is the cost of the least expensive tank?
Page 8 of 8
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