I have spent the entire day trying to solve this problem but I haven't come to a conclusion.
There are two offers for a copying machine for a months use with the following limits:
(1) $5000 for 10,000 copies and then 12 cents for any additional copy.
(2) $2000 for 8000 copies and then 25 cents for any additional copy.
How many copies a month do you need to make for (1) to be profitable.
I understand inequalities and have no problem solving them. However I can't seem to make a function out of any of the 2 equations.
If I use y=kx+m the first equation might translate to something like y=0.12x + 5000 but then I haven't really put in any information about the least amount of copies being 10,000.
Any guidelines?
Edit:To clarify, I 'm having trouble making an expression/formula to solve the inequality
Edit: I've thought about a million different ways to make an expression of the given data for both offers. For the first expression lets say y equals the amount of money and x the amount of copies above 10,000. Then y = 5000 + 0.12x. But where do I put the limit of 10,000 copies?
I understand that the k value for x needs to be 0.12 for (1) and 0.25 for (2). Still not getting anywhere in my head.
There are two offers for a copying machine for a months use with the following limits:
(1) $5000 for 10,000 copies and then 12 cents for any additional copy.
(2) $2000 for 8000 copies and then 25 cents for any additional copy.
How many copies a month do you need to make for (1) to be profitable.
I understand inequalities and have no problem solving them. However I can't seem to make a function out of any of the 2 equations.
If I use y=kx+m the first equation might translate to something like y=0.12x + 5000 but then I haven't really put in any information about the least amount of copies being 10,000.
Any guidelines?
Edit:To clarify, I 'm having trouble making an expression/formula to solve the inequality
Edit: I've thought about a million different ways to make an expression of the given data for both offers. For the first expression lets say y equals the amount of money and x the amount of copies above 10,000. Then y = 5000 + 0.12x. But where do I put the limit of 10,000 copies?
I understand that the k value for x needs to be 0.12 for (1) and 0.25 for (2). Still not getting anywhere in my head.
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