
Concept explainers
Find the objective function in Example 1 (in terms of x) (i) if there is no interior fence and (ii) if there is one interior fence that forms a right angle with the barn, as in Figure 4.58
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Example 1 Rancher’s Dilemma
A rancher has 400ft of fence for constructing a rectangular corral. One side of the corral will be formed by a barn and requires no fence. Three exterior fences and two interior fences partition the corral into three rectangular regions as shown in Figure 4.58. What are the dimensions of the corral that maximize the enclosed area? What is the area of that corral?
Figure 4.58

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