After completing the fencing job from two weeks ago, the company sends you to construct some fencing near a river. Your client wants you ...

Part 1

1. After completing the fencing job from two weeks ago, the company sends you to construct some fencing near a river. Your client wants you to enclose a corral adjacent to a river as in the diagram below.

a. Write an equation that represents the area of the enclosure.

b. If you solved for y, what would be the new equation?

c. If L stands for the length of the fence, in yards, write an equation that represents the length of fencing that you need.

d. If you substituted your equation from part b into your equation in part c, then L will result in a rational function. Express L as a rational function.

2. Which quadrant(s) on a coordinate system, when graphed, would not be appropriate to use for this problem? Justify your conclusion.

Part 2

Fences R Us wants to replace their office’s traditional computers and two-dimensional monitors with a virtual reality system. The fixed monthly cost will be $400,000, and it will cost $800 to produce each system.

1. Write the cost function C, of producing x virtual reality systems.

2. Write the average cost function, A , of producing x virtual reality systems.

3. Find and interpret A(1000), A(10,000) and A(100,000).