Question

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 $50 per inkjet printer and $70 per laser printer. Find the number of each type of printer that should be made to give maximum profit, and find the maximum profit. inkjet printers laser printers maximum profit $

Answer 1

= + rs • x + y = 70 w x + 3y = 120 100 powered by desmos

Changing constraders into reqrations, xwirty = 70 el capp e ll or G7 w et sy = 120 e 6 - El= (1 - te Now, to solve LPP by a graphical by grapher method, o ast (a- we need to draw the lines on the graph usta . As putting Co,o) j new place of the constraints , if satisfies for aran both to feasible region so was wards otce gin for both wheson- &). i.e oto <70 CM ŠNE - 32 Ot 3x0 < 120 o sto give 3) = Shaded region so we feasible negoon. & toths to redmur Now the offimum values of objective function 2 iş found cornen points . from (6) Poont A (0,40). Forom (a) Poont c (70, 0) I from (a) & 6 s sted soupen wat ntry = 120 - esaty ta to a surinn 24 = 50 = y 225 - n = 70-25. -45 Point B (45, 25).. OV alow, z = 50x troygun sti tofauti I Co, yo) - 5000+ 70.40 = 2800 tolaris Z. (70,0) = 50.707 70.0 = 35.oool ZB (45, 25) = 50 x 45 t 70x25 two = 2250 +1750 ot yosjoure - yooo Noto (maxumuns
Ans:

Inkjet:45

Laser: 25

Max profit : $4000

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