Please help me with the following calculus problem:
1. A homeowner wants to enclose a 5,800 square feet rectangular garden by a fence in his backyard. If three sides of the fence cost $6.25 per foot and 4th side costs $10.25 per foot, find the dimensions that will minimize the cost of building the fence and the minimum cost of its construction.
2. Find the absolute extreme values of f(x) = x^4 + 8x^3 - 32x^2 on interval [-1, 5].© BrainMass Inc. brainmass.com March 5, 2021, 12:05 am ad1c9bdddf
1. Suppose the length is x feet, width is y feet.
we could have xy=5800.
when z'=0, y=66.29 ...
The solution provides detailed explanation how to find the maximal and minimal by derivatives.