INVENTORY COST A manufacturer estimates that if each shipment of raw materials contains x...

INVENTORY COST A manufacturer estimates that if each shipment of raw materials contains x units, the total cost in dollars of obtaining and storing the year’s supply of raw materials will be

a. Find all vertical and horizontal asymptotes of the graph of C(x).

b. Note that as x gets larger and larger, the term

in C(x) gets smaller and smaller. What does this say about the relationship between the cost curve y= C(x) and the line y= 2x?

c. Sketch the graph of C(x), incorporating the result of part (b) in your sketch. [Note:The line y = 2x is called an oblique(or slant) asymptote of the graph.]