optimization problem

Question

A construction company has adjoined a 4600 ft^2 rectangular enclosure to its office building. Three sides of the enclosure are fenced in. The side of the building adjacent to the enclosure is 460 ft long and a portion of this side is used as the fourth side of the enclosure. Let x and y be the dimensions of the enclosure, where x is measured parallel to the building, and let L be the length of fencing required for those dimensions.

(a) Find a formula for L in terms of x and y.

L(x,y)=

(b) Find a formula that expresses L as a function of xx alone.

L(x)= 

(c) What is the domain of the function in part (b)? Express as an interval.

 Domain = 

Answer 1