SOLUTION: Solve the following LP problem graphically: Minimize cost = 24X + 15Y Subject to: 7X + 11Y Ú 77 16X + 4Y Ú 80 X, Y Ú 0

Algebra.Com
Question 835306: Solve the following LP problem graphically:
Minimize cost = 24X + 15Y
Subject to: 7X + 11Y Ú 77
16X + 4Y Ú 80
X, Y Ú 0

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Minimize:

With constraints:




.
.
.

Find the intersection points,
,
,
.
.
When ,


.
.
.

.
.
The extrema of the function occurs at the vertices.






RELATED QUESTIONS

Minimize cost = $4X + $7Y Subject to the constraints (answered by ikleyn)
How do you do this problem? Minimize: Z = 6x+15y Subject to: 4x+5y>=27; 8x+4y>=32;... (answered by stanbon)
Consider the following LP problem: maximum profit = 5X+6Y subject to 2X+y <- 120 (answered by solver91311)
Solve the following linear programming problems using graphical methods Maximize P =... (answered by ikleyn)
Solve the following linear programming problem. Restrict x ≥ 0 and y ≥ 0.... (answered by greenestamps,ikleyn)
Solve the linear programming problem. Minimize z = 11x + 6y + 7 subject to: x ≥ 0,... (answered by ikleyn)
Maximize and Minimize P=5x+15y<=60 Subject to: x+3y<=60 x+y>=10 (answered by greenestamps)
Minimize c=2x+3y+4z subject to minimize the problem: 4x+2y+z=10 x+y-z=5... (answered by Edwin McCravy)
Minimize c=2x+3y+4z subject to minimize the problem: 4x+2y+z≥10 x+y-z≥5... (answered by ikleyn)