Question: 1. (5 points) Find two positive numbers such that the sum of the one and the square of the other is 200 and whose product

1. (5 points) Find two positive numbers such that the sum of the one and the square of the other is 200 and whose product is a maximum. 2. (7 points) Find the dimensions of a rectangle with area 2000 In2 whose perimeter is as small as possible. 3. (9 points) There is 350 In2 of material to build a box whose base width is four times the base length. Determine the dimensions of the box that will maximize the enclosed volume

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