SOLUTION: A company has a choice between two copiers, A and B. A costs $120 a month plus $0.05 per page; B costs $250 a month plus $ 0.03 per page. A. Find the cost equations for each copie

Algebra ->  Systems-of-equations -> SOLUTION: A company has a choice between two copiers, A and B. A costs $120 a month plus $0.05 per page; B costs $250 a month plus $ 0.03 per page. A. Find the cost equations for each copie      Log On


   

Question 1165918: A company has a choice between two copiers, A and B. A costs $120 a month plus $0.05 per page; B costs $250 a month plus $ 0.03 per page.
A. Find the cost equations for each copier.
B. Which copier would be best for 5,000 pages a month? For 10,000 copies?
C. Graph the equations on the same axes and show clearly where each copier is cheapest.
D. Find the volumes at which the costs are equal and mark the point on your graph.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
here's your graph.
copier A is in red.
copier B is in blue.

the cost for copier A is 120 + .05 * x
the cost for copier B is 250 + .03 * x

on the graph, the total cost for each copier is equal to y.

the equation for copier A is y = 120 + .05 * x
the equation for copier B is y = 250 + .03 * x

at 5000 copies a month, the total cost for copier A is 370 per month and the total cost for copier B is 400 per month.
copier A is cheaper.

at 10,000 copies a month, the total cost for cop[ier A is 620 per month and the total cost for copier B is 550 per month.
copier B is cheaper.

the break even point is at 6500 copies per month.
at 6500 copies per month, total cost for copier and the total cost for copier B is 445 per month each.

all this can be seen on the graph.
the graph is shown below.