Question

The CEO of the soda company Pepsi calls and tells you that the company needs to...

The CEO of the soda company Pepsi calls and tells you that the company needs to make a cylindrical that can hold 1.5 liters of soda. Determine the dimensions of the can that will minimize the amount of material used in its construction. You may want to know that the volume of a cylinder is    and the surface area of a cylinder is

  1. Draw a picture or make a table to represent the situation.
  2. Assign variables.
  3. Use the given information to create a function of a single variable whose output is what you’re trying to optimize.
  4. Find the applied interval for the created function.
  5. Find the critical points of the function.
  6. Find the absolute maximum or minimum to determine the optimization.
  7. State your final conclusion, including units when appropriate.

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