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

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?
                             
P= 86x +130y   
Constraints:   x + y ≥ 100
              45x+35y ≥ 3850

Please help me solve this..This is a linear programming problem..

Henry · Answer

X type A printers.
Y type B printers.

Eq1: x + y => 100.
Eq2: 45x + 35y => 3850.
Multiply Eq1 by -35 and add the Eqs:

-35x - 35y => -3500.
+45x + 35y => +3850.
10x => 350, X => 35 Type A printers.

In Eq1, replace x with 35:
35 + y => 100, Y => 65 Type B printers.