Question: A construction company has adjoined a 1000ft rectangular enclosure to its office building. Three sides of the enclosure are fenced in. The side of

A construction company has adjoined a 1000ft rectangular enclosure to its office

A construction company has adjoined a 1000ft rectangular enclosure to its office building. Three sides of the enclosure are fenced in. The side of the building adjacent to the enclosure is 100ft long and a portion of this side is used as the fourth side of the enclosure. Let z and y be the dimensions of the enclosure, where a is measured parallel to the building, and let L be the length of fencing required for those dimensions. (a) Find a formula for L in terms of and y. (b) Find a formula that expresses Las a function of alone. (c) What is the domain of the function in part (b)? (d) Plot the function in part (b) and estimate the dimensions of the enclosure that minimize the amount of fencing required.

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