You are the proud newowner of an Acme Deluxe Bread Kneading Machine, which you are using for the first time today. Suppose that at noon the dimensions of your (nearly rectangular) loaf of bread dough are L = 7 in (length), W = 5 in (width), and H = 4 in (height). At that time, you place the loaf in the machine for kneading and the machine begins by stretching the loaf ’s length at an initial rate of 0.75 in/min, punching down the loaf ’s height at a rate of 1 in/min, and increasing the loaf ’s width at a rate of 0.5 in/min. What is the rate of change of the volume of the loaf when the machine starts? Is the dough increasing or decreasing in size at that moment?
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