Question

A company manufacturer two types of printers, an inkjet printer and a laser printer. The company can make a total of 60 printers per day, and it has 120 labor-hours per day available. It takes 1 labor-hour to make a inkjet printer and 3 labor-hours to make a laser printers. The profit is $40 per inkjet printer and $60 per laser printer. How many of each type of printer should the company make to maximize its daily profit?

Answer 1

Answer:

30 inkjet printers

30 laser printers

Step-by-step explanation:

Let x be inkjet printer

Let y be the laser printer

Total printer produced per day = 60

This implies that x+y = 60

The company has 120 labor hours per day. If it has 1 labor hour to make a inkjet printer and 3 labor hours to make a laser printer, we will have

x + 3y = 120

So we have

x + y = 60 ........(1)

x + 3y = 120 ........(2)

Subtract equation 1 from 2

We have

2y = 60

y = 60/2

y = 30

Put y= 30 into equation 1

x + y = 60

x + 30 = 60

x = 60 -30

x = 30

Therefore we have 30 inkjet printers and 30 laser printer.