SOLUTION: Suppose the cost function to manufacture shoes is C(x) = 30x + 300,000, where x represents the number of shoe pairs made. Use this information to construct the average cost functi

Algebra ->  Functions -> SOLUTION: Suppose the cost function to manufacture shoes is C(x) = 30x + 300,000, where x represents the number of shoe pairs made. Use this information to construct the average cost functi      Log On


   

Question 878192: Suppose the cost function to manufacture shoes is C(x) = 30x + 300,000, where x represents the number of shoe pairs made. Use this information to construct the average cost function, C(x)/x . Explain the behavior of the average cost function as x increases without bound. What type of asymptote does this function have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+C%28x%29++=+30x+%2B+300000+
+C%28x%29+%2F+x+=+30+%2B+300000%2Fx+
Here's the plot:
+graph%28+400%2C+400%2C+-5%2C+50%2C+-10000%2C+310000%2C+30+%2B+300000%2Fx+%29+
As +x+ approaches infinity, +C%28x%29+
approaches +30+