**Answer:**

100 printers of Type A

**Step-by-step explanation:**

Let x be the no. of printers of type A

Let y be the no. of printers of type B

You expect to sell at least 100 laser printers this month

Equation becomes : —1

Cost of 1 printer of Type A = $86

Cost of x printer of Type A = $86x

Cost of 1 printer of type B =$135

Cost of y printer of type B =$135 y

Minimize cost function:

Now Profit on 1 Type A printer = $45

Profit on x Type A printer = $45x

Profit on 1 Type B printer = $35

Profit on y Type B printer = $35y

We are given that you need to make at least $3850 profit on them.

So, equation becomes : —2

Conditions : —3 and —4

**Now plotting the lines 1,2,3,4 on the graph**

**Refer the attached figure **

Feasible points are (100,0);(0,100)and(35,65)

Now check which feasible point provides minimum cost.

At point (100,0)

**So, At point (100,0) total cost is $8600.**

At point (0,100)

**So, At point (0,100) total cost is $13000**

At point (35,65)

**So, At point (35,65) total cost is $11460**

**So, at (100,0) we are getting the minimum cost i.e. $8600.**

**So, we need to order 100 printers of type A and 0 printers of type B to minimize the cost.**