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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
Minimize:
C=24X%2B15Y
With constraints:
7x%2B11y=77
16x%2B4y=0
x=0
y=0
.
.
.
graph%28300%2C300%2C-5%2C15%2C-5%2C15%2C%2877-7x%29%2F11%2C-4x%29
Find the intersection points,
x=11, y=0
x=0, y=0
.
.
When x=0,
7%280%29%2B11y=77
y=7
.
.
.

.
.
The extrema of the function occurs at the vertices.
C=24X%2B15Y
C=24%2811%29%2B15%280%29=264
C=24%280%29%2B15%280%29=0
C=24%280%29%2B15%287%29=105