Question

-/2 POINTS MY NOTES ASK YOUR TEACHER Solve the following linear programming problem. Restrict x 20 and y 2 0. Maximize f = 3x + 4y subject to x + y s 9 2x + y s 14 y s6. (x, y) = ( ) -/2 POINTS MY NOTES ASK YOUR TEACHER Solve the following linear programming problem. Restrict x 2 0 and y 2 0. Minimize g = 6x + 8y subject to the following. 5x + 2y > 16 3x + 7y 2 27 (x, y) = ( g=_

Answer 1

Sol girgan f = 3x+4y a choix x+y=9 2x + y214 - y =6 2 + y = 9 ? 2x+y=14 y = 6 Tolo aly o 10,14) 10,917 3 y= 14.5 10,0) (ber 9.0 x+y=g Find 2x+y=14 Intersekt point of these two lines x+y=90 27 + y = 14 - - - - -x =5 25 Put a=5 ① in equation 5+y=9 y = 4

Find and x+y=9 Intersection Put y=6 point of Y=6 in 3+9=9 +6=9 x=3 one (3,6) points maximize f = 3x + 4y (7114) | 37+47 10,0) (7,0) 1713) = 21 (4,5) 314) +4/5) = 12+20= 32 v (316) 313)+416) = 9+24 = 33 3109+416) = 24 106) Ans will be 12.9) = (3,6) F = 33 - By