In Exercises, use a graphing calculator to determine where the derivative is equal to zero. In this
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In Exercises, use a graphing calculator to determine where the derivative is equal to zero.
In this modification of the can problem in Example 4, the cost must be minimized. Assume that aluminum costs 3¢ per square centimeter, and that there is an additional cost of 1¢ per cm times the height of the can to make a vertical seam on 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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In Exercise 33 we found that the cost of the aluminum to make the c...View the full answer
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