anonymous
  • anonymous
Paul needs to construct two corrals for his pigs and his cows. The animals will be allowed to drink from the river so no fence is needed along the river. Paul has 97 feet of fence to complete the project. What should the dimensions of each corral be in order maximize the total enclosed area in the two corrals. [ ________________l R l [ l Pigs l i l Y -[ --------------l v l [ l Cows l e l [ --------------l r l X a) Identify the restriction and the objective functions
Calculus1
chestercat
  • chestercat
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anonymous
  • anonymous
b) Use your functions from (a) above, to write the area of the corrals as a function of the width x A(x) =
anonymous
  • anonymous
We know 3X + Y = 97
anonymous
  • anonymous
Y = 97 - 3X substitute in for Area(x) = X*Y = X(97-3X) 97X-3X^2

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anonymous
  • anonymous
Is that right?

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