A business wants to set up a three-sided fence to enclose a rectangular area of 2,000 square feet in the front of their store. If materials for the front of the fence that face the street cost them $20 per foot and the cost for the two other sides cost $15 dollars per foot, find the minimum cost for the project too the nearest cent. Solve the problem in 2 different ways: First use the method of LaGrange Multipliers, and then use the methods you learned from calculus 1 when working with a function of one variable. By doing this both ways you will connect your knowledge and get the most out of this word problem. Do not include units which are in dollars.