Question

The average cost to produce a booklet at a printing company is given by the equation C(X)= 2x/x-1 where x is the number of booklets produced. Graph this relationship and describe what the expected cost of producing a booklet approaches as many booklets are printed.

Answer 1

C(x) = 2

Explanation:

The graph of the average cost is shown in the attached image.

Note that, as is to be expected, when the number of booklets produced x increases, then the average cost per booklet decreases.

To calculate the expected cost of producing a booklet when x is very large, look at the graph.

Note that when x = 2 then the average cost is equal to 4, then when x = 5 the average cost is 2.5.

In this way, the bigger x is made, the more the cost approaches 2.

Therefore it can be said that

`\lim_(x \to \infty)C(x)= 2`

Finally, the expected average cost when the number of booklet produced is very large is C (x) = 2