Solve the below:
Q1. 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.
Q2. Find the absolute extreme values of f(x) = x^4 + 8x^3 - 32x^2 on interval [-1, 5].