Newjet Inc manufactures inkjet printers and laser printers T

Newjet, Inc. manufactures inkjet printers and laser printers. The company has the capacity to make 70 printers per day, and it has 120 hours of labor per day available. It takes 1 hour to make an inkjet printer and 3 hours to make a laser printer. The profits are $40 per inkjet printer and $60 per laser printer. Find the number of each type of printer that should be made to give maximum profit, and find the maximum profit.

Solution

Let x = number of inkjets
y = number of lasers
x + y 60
1x + 3y 120
x 0
y 0

graph those 4 inequalities on the same graph. Find the coordinates of the vertices of the resulting polygon. Plug those into the profit equation,
P = 40X + 60Y and whichever causes the highest profit is the answer