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Anticipating further expansion of the production line, the company wants to find the dimension of the...

Anticipating further expansion of the production line, the company wants to find the dimension of the cheapest can that holds 100 mL when the material for the base and top costs a ¢/cm2 and the material for the sides costs b ¢/cm2 . (These dimensions may be in terms of the constants a and b.) As in the previous cases, we want to prove to your boss that these dimensions actually do minimize the cost. Accordingly, you include an argument as to why these dimensions MUST minimize the cost.

Math   Calculus   
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