In Exercises 50 through 52, assume that the required extreme value is a relative extremum Suppose you wish to construct a rectangular box with a volume of 32 ft 3 Three different materials will be used in the construction The material for the sides costs $1 per square foot, the material for the bot...

So 2 2 is the critical point So cost is minimized when the dimensions ...

In Exercises 50 through 52, assume that the required extreme value is a relative extremum. Suppose you

Question:

In Exercises 50 through 52, assume that the required extreme value is a relative extremum.

Suppose you wish to construct a rectangular box with a volume of 32 ft³. Three different materials will be used in the construction. The material for the sides costs $1 per square foot, the material for the bottom costs $3 per square foot, and the material for the top costs $5 per square foot. What are the dimensions of the least expensive such box?

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