In Exercises, use a graphing calculator to determine where the derivative is equal to zero. Modify the
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In Exercises, use a graphing calculator to determine where the derivative is equal to zero.
Modify the can problem in Example 4 so the cost must be minimized. Assume that aluminum costs 3¢ per square centimeter, and that there is an additional cost of 2¢ per cm times the perimeter of the top, and a similar cost for the bottom, to seal the top and bottom of the can to the side.
Example 4
A coffee company wants to manufacture cylindrical aluminum coffee cans with a volume of 1000 cm3 (1 liter). What should the radius and height of the can be to minimize the amount of aluminum used?
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From Example 4 we know that the surface area of the can is given by Aluminum co...View the full answer
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