Question

Given the information below, answer the questions. Quick Copies charges $3.00 to send a fax plus $0.50 per page. The Copy King charges $0.80 per page with no initial fee. Make a recommendation of when you would use Quick Copies and Copy King.

1. Define the problem. (What are you trying to figure out?)

2. What is your plan to solve the problem? Be sure to include the techniques that you will be using.

3. Make a hypothesis. (What do you think will happen?)

4. Evaluate/solve the problem. Be sure to include equations, etc. and show all of your work.

5. What is your recommendation? Be very clear with your explanation.

6. Implement your solution. (Prove or disprove that your recommendation is correct.)

Answer 1

Quick Copies charges $3.00 to send a fax plus $0.50 per page.

The Copy King charges $0.80 per page with no initial fee.

a) We want to find who is more economical if we send same no. of fax on both

b) Lets find an equation for each copier for their total fax charges

c) Lets assume x no, of faxes are sent by o both of them

d) Quick : Q(x) = 3 +0.50*x

Copy : C(x) = 0.8*x

e) To recommend any of them

first graph the two equation :

Red graph is for Quick copy

Blue is for Copy King

So, before x <10 faxes Copy King is economical and is recommended

For x >10 faxes Qucik copy is recommended