A 3-D printer builds up layers of material to make three-dimensional models. Each deposited layer bonds to the layer below it. A company decides to make small display models of engine components using a 3-D printer. The printer costs $14,000. The material for each model costs $300. A function for the average cost per model, `C(m)`, where m is the number of models printed is `C(m)=(300m+14000)/m` .
A. Graph the function using your graphing calculator and draw a sketch in the box. Use the following window: xmin: 0; xmax: 150; ymin: 0; ymax: 5000
B. Use the graph to estimate how many models must be printed for the average cost per model to fall to $700.
__________________ models must be printed for the average cost to be $700
C. Does the graph appear to have a horizontal asymptote?
__yes
__no
The horizontal asymptote is at __________________
Describe what the horizontal asymptote means in the context of the problem.
__It will cost $300 to print a model no matter how many models are printed.
__The maximum number of models that can be printed is 300.
__It will take 300 models to lower the cost of the printing.
__As more and more models are printed the average cost per model will level out to about $300.