Optimization review and introduction to the Mean Value Theorem.

1. The quot;Meanquot;
Value Theorem
Go ahead; make my day

2. Willy’s Pet Bob
Willy the Wallaby has has been looking for the
perfect pet for a very long time and he has finally found
it - Bob the boa constrictor. Now Willy has to make a
closed, rectangular cage for Bob but it has to be 4000
cubic feet in volume and the length has to be 5 times that
of the height of the cage. The material to make the cage
costs $0.25 per square foot.
1) What are the dimensions of the least expensive cage?
2) How much does it cost?

3. 1) What are the dimensions of the least expensive cage?

5. a c c b
SLOPE of
SECANT Line