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Suppose a rancher wants to fence off a rectangular shaped enclosure. He has 2400 feet of...

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Basic Math

Suppose a rancher wants to fence off a rectangular shapedenclosure. He has 2400 feet of fencing that he can use. What arethe dimensions that gives the enclosure the most area?

(a) Draw a sketch of the pen in this question. Appropriatelylabel the relevant information in your sketch.

(b) Based on your sketch above, what equation is beingmaximized?

(c) Based on your sketch above, what equation represents thegiven constraint?

(d) Find the dimensions of the enclosure that gives the largestarea.

(e) How much fence is used on the East-West sides? How muchfence is used on the North-South sides? What is the ration of theamount of fence used on the East-West sides to the amount of fenceused on the North-South sides?

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