Question 12 A hedgehog named Tesseract is sitting at the northwest corner of a rectangular pool, 300 feet wide and 80 feet long. Tess can run at 6 feet per second and swim at about 4 feet per second. Relative to Tess' starting point, where should she dive into the pool to minimize her time traveling from her starting point to the strawberry at the southeast corner of the pool? TESS 300 feet IFILIL /!li grass Start water 80 feet Finish YUM! You'll need to a) Define a variable, and tell me what it represents with the proper units. b) Write an objective function and include it in your answer. (Above the text entry box, you can choose insert. equation to show your equation) c) Find the value of the variable that minimizes the objective function and d) Say how you know this is a minimum value of the objective function and not a maximum or something else. e) Answer the question in a complete sentence.

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