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Week 5 Lab (Math 241) - volume is 32 cubic feet and the...

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There is $320 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs $6 per foot and the fencing for the other three sides costs $2 per foot. Find the dimensions of the largest possible garden. a) Determine the objective and constraint equations. b) Express the quantity to be maximized as a function of x (or y). c) Find the optimal values of x and y. Consider an open rectangular box with a square base. Let x represent the dimension of the base and h represent the height of the box. Find the values of x and h for which the
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Unformatted text preview: volume is 32 cubic feet and the total surface area of the box is minimal. a) Determine the objective and constraint equations. b) Express the quantity to be minimized as a function of x (or h). c) Find the optimal values of x and h. • A canvas wind shelter has a back, two square sides, and a top. If 96 square feet of canvas is to be used, find the dimensions of the shelter for which the space inside the shelter (the volume) is maximized...
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