SOLUTION: Using the following system of inequalities find the maximum value of f(x,y) =3x+1y X≥0 Y≥0 3x+2y≤18 6x+7y≤42

Algebra.Com
Question 977586: Using the following system of inequalities find the maximum value of f(x,y) =3x+1y
X≥0
Y≥0
3x+2y≤18
6x+7y≤42

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
First find the feasible region.
.
.
.
.
The extrema occur at the vertices.
(0,0) :
(0,9) :
(7,0) :
(14/3,2) :

RELATED QUESTIONS

Solve the following system of inequalities by graphing. draw a graph 5x - 4y ≥ -20 (answered by MathLover1)
Graph the system of inequalities. x + 3y ≤ 9 3x + y ≤ 9 x ≥ 0 y... (answered by nyc_function)
Using the following system of inequalities find the maximum value of f(x,y) = 3x + 1y... (answered by Fombitz)
Help Needed; Graph the feasible region for the system of inequalities. 2y + x... (answered by jim_thompson5910)
Help Needed; Graph the feasible region for the system of inequalities. 3x - 2y... (answered by jim_thompson5910)
I don't understand these types of problems? Please help! Graph each system of... (answered by Alan3354)
Can u please help me solve this ..... Using the following system of inequalities find the (answered by Edwin McCravy)
Graph the following system of inequalities. Name the coordinates of the vertices of the... (answered by KMST)
Solve each of the following systems of linear inequalities graphically. 9. x – 2y... (answered by jim_thompson5910)