Question: Q4 Package 10 Points A packaging company will only accept packages for shipment if the sum of the length, width, and height is exactly 96

 Q4 Package 10 Points A packaging company will only accept packages

Q4 Package 10 Points A packaging company will only accept packages for shipment if the sum of the length, width, and height is exactly 96 inches. In other words, if length = [, width = w, and height = h, then it must satisfy the equation [+w+h =096 (It's a weird company) A) What is the formula for the volume of the box, in terms of [, w, and h? (Seriously, what's the formula for volume of a box? Look it up if you don't remember) Let's simplify this case a little more. Suppose we have a box with a square base, so let = length = width. B) Solve for h in terms of x given the first equation, and then determine the function for the volume of the box ONLY in terms of . C) Draw the graph of the function below, using an appropriate window. Make sure you have two - intercepts and a maximum in you window. D) Using the graph, what dimensions (specific values of and h) will yield the maximum volume? [] Please select file(s) Select file(s)

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