SOLUTION: I would really appreciate your help solving this problem A machine shop has two machines that can mill a certain bras plate. One machine has a set up cost of $500 and a cost per

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Question 201529This question is from textbook beginning algebra
: I would really appreciate your help solving this problem
A machine shop has two machines that can mill a certain bras plate. One machine has a set up cost of $500 and a cost per plate of $2, and the other machine has a set up cost of $800 and a cost per plate of $1. How many plates should be manufactured if the cost is to be the same using either machine?
Thank you
Jmolina This question is from textbook beginning algebra

Found 2 solutions by rfer, josmiceli:
Answer by rfer(16322) (Show Source):
You can put this solution on YOUR website!
500+2x=800+x
x=300 units
-----------------
500+2(300)=800+300

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = number of plates manufactured
when cost is the same using either machine.

If 300 plates are made, the cost is the same using
either machine
check:
If I let = cost of making plates,
I can graph
and

As you see, the lines cross at and
the cost is