45. AVERAGE COST The total cost of producing x units of a particular commodity is C thousand dollars, where C(x) = 3x + x + 48, and the average cost is 48 A(x) = C(x) = 3x + 1+ - X X a. Find all vertical and horizontal asymptotes of the graph of A(x). b. Note that as x gets larger and larger, the term 48 in A(x) gets smaller and smaller. What does this say about the relationship between the aver- age cost curve y = 4(x) and the line y = 3x + 1? c. Sketch the graph of A(x), incorporating the result of part (b) in your sketch. [Note: The line y = 3x + 1 is called an oblique (or slant) asymptote of the graph.]|