Question

Write the piecewise function for the cost per unit for production of units in the Wichita factory. That is, state the function C(x), where x is the number of units produced.

Answer 1

If we look carefully at the graph presented to us we will be able to see that the costs to produce units lower when the units produced is higher. We can see this in the cost of 25,000 and 35,000 units produced. The cost drops by 0.2.

Answer 2

The piece-wise function for the cost per unit for production of units in the Wichita factory is:

C(x)= 1 when 0≤x≤25000

and 0.8 when 25000<x≤35000

Explanation:

The graph of C(x) is a straight horizontal line taking the constant value 1 in the interval [0,25000]

and a straight horizontal line taking the constant value 0.8 in the interval (25000,35000]

Hence, the piece-wise function C(x) is defined by:

C(x)= 1 when 0≤x≤25000

and 0.8 when 25000<x≤35000