Question: A printer receives an order to produce a rectangular poster containing 25 square centimeters of print surrounded by the margins of 2 centimeters on each side and 4 centimeters on the top and bottom. What are the dimensions of the smallest piece of paper that can be used to make the poster? Let x=distance from the left of the printed area to the right of the printed area, and let y=distance from the top of the printed area to the bottom of the printed area. You are asked to find the minimum area of the paper that contains the printed area and has the given margins.

Target function f(x): \(f(x)=57+\frac{100}{x}+8x\)
Domain of f(x)__ \((0,\infty )\) ____
Domain of f(x)__________
Exact value of 2nd derivative at critical value of x=___ \(x=3.535534,\text{ }f''(3.535534)=4.525483\) __
Max. or Min. value of f(x)____113.5685 (minimum)_______

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