Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86 and you make a $45 profit on each one. The second type, B, has a cost of $130 and you make a $35 profit on each one. You expect to sell at least 100 laser printers this month and you need to make at least $3850 profit on them. How many of what type of printer should you order if you want to minimize your cost?

Question

yacoub1993 · Answer

so far i did this much but i am stuck 

x = number of type A printers
y = number of type B printers

x + y ≥ 100
Type A, you make a profit of $45 on each
Type B, you make a profit of $35 on each
Therefore you need to make at least $3850 profit
Therefore 45x + 35y ≥ 3850

Minimize Cost = 86x + 130y
x + y ≥ 100
45x + 30y ≥ 3450

yacoub1993 · Answer

@apple_pi Help Please

anonymous · Answer

Hang on a sec... jotting things down

yacoub1993 · Answer

ok

anonymous · Answer

Actually gotta go now. I'll be back if I can

yacoub1993 · Answer

@robtobey  Help me Please

yacoub1993 · Answer

@INeedHelpPlease? Help Me Here

terenzreignz · Answer

Well, this is quite a sticky situation you got yourself into (optimisation... the horror D: )

But anyway, you see those inequalities called constraints?
They both correspond to a specific line, right?
Find their intersection...

terenzreignz · Answer

$$\Large x + y = 100\\Large 45x + 35y = 3850$$
Solve this system :)

terenzreignz · Answer

Still here, are you?
First, solve that system I put up... ^