Your computer supply store sells two types of laser printers. the first type, a, has a cost of $86 and you mame 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?

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.

hi there!

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