Hey there,

I've one question on this problem. So, I'm working on word problems based on graphing inequalities.

And there's this one question I don't get. It says "Explain why the feasible solutions of this problem are ordered pairs of whole numbers".

Actually, I'll put down full c) part from this word problem.

c) A feasible solution is one that satisfies all the conditions of the problem, including the obvious ones that are not stated. (<--- "obvious ones that are not stated", what??) Explain why the feasible solutions of this problem are ordered pairs of whole numbers. Describe two possible solutions.

I'll copy down the full word problem for you.

"A cycle dealer wishes to purchase touring cycles for $300 each and racing cycles for $400 each. She plans to spend not more than $8400. She buys x touring models and y racing models. An inequality that represents this is 300x+400y\< (that's "≤", if you can see the symbol) 8400, which can be simplified to y \< (that's "≤", if you can see the symbol) 21-0.75x."

So, I graphed the inequality and here's what I've got - I picked two possible solutions which would be (11,12) and (20,10).

(11,12) is located in the shaded area and (20,10) is located on the line, by the way.

Thanks for any help.......