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An arrow is fired into the air with an initial velocity of 64 feet per second. The height in feet of the arrow t seconds after it was shot into air is given by the function h(x) = -16t^2+64t. Find the maximum height of the arrow.

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The profit that the vendor makes per day by selling x pretzels is given by the function P(x)= -0.002x^2+1.4x-400. Find the number of pretzels that must be sold to maximize profit.

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The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function C(x) =4x^2-16x+32. Find the number of automobiles that must be produced to minimize the cost.

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