You have been hired by the Humane Society to construct six 2 by 3 animal cages using 1400 feet of chain fence. Express the length and width using function notation. Include a graph with the area function with explanation of significance. Find the dimensions that maximize the total enclosed area and the relevant domain and range.

One hose can fill a small swimming pool in

minutes. A larger hose can fill the pool in
minutes. How long will it take the two hoses to fill the pool working together?

Do not do any rounding.