3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the...
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Transcript of 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the...
![Page 1: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/1.jpg)
3.4 – Linear Programming
![Page 2: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/2.jpg)
3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
![Page 3: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/3.jpg)
3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
![Page 4: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/4.jpg)
3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
![Page 5: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/5.jpg)
3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
![Page 6: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/6.jpg)
3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
![Page 7: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/7.jpg)
3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
![Page 8: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/8.jpg)
3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
![Page 9: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/9.jpg)
3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
![Page 10: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/10.jpg)
3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
![Page 11: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/11.jpg)
3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
![Page 12: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/12.jpg)
3.4 – Linear Programming
Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y
![Page 13: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/13.jpg)
3.4 – Linear ProgrammingEx. 1 Graph the system of inequalities. Name the
coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y (x, y) x – y f(x,y)
![Page 14: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/14.jpg)
3.4 – Linear ProgrammingEx. 1 Graph the system of inequalities. Name the
coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y (x, y) x – y f(x,y)
(0.-4)
(3,5)
(3,-4)
![Page 15: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/15.jpg)
3.4 – Linear ProgrammingEx. 1 Graph the system of inequalities. Name the
coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y (x, y) x – y f(x,y)
(0.-4) 0 – (-4) 4
(3,5)
(3,-4)
![Page 16: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/16.jpg)
3.4 – Linear ProgrammingEx. 1 Graph the system of inequalities. Name the
coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y (x, y) x – y f(x,y)
(0.-4) 0 – (-4) 4
(3,5) 3 – 5 -2
(3,-4)
![Page 17: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/17.jpg)
3.4 – Linear ProgrammingEx. 1 Graph the system of inequalities. Name the
coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y (x, y) x – y f(x,y)
(0.-4) 0 – (-4) 4
(3,5) 3 – 5 -2
(3,-4) 3 – (-4) 7
![Page 18: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/18.jpg)
3.4 – Linear ProgrammingEx. 1 Graph the system of inequalities. Name the
coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y (x, y) x – y f(x,y)
(0.-4) 0 – (-4) 4
(3,5) 3 – 5 -2
(3,-4) 3 – (-4) 7
![Page 19: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/19.jpg)
3.4 – Linear ProgrammingEx. 1 Graph the system of inequalities. Name the
coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y (x, y) x – y f(x,y)
(0.-4) 0 – (-4) 4
(3,5) 3 – 5 -2
(3,-4) 3 – (-4) 7
Max of 7 @ (3,-4)
![Page 20: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/20.jpg)
3.4 – Linear ProgrammingEx. 1 Graph the system of inequalities. Name the
coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y (x, y) x – y f(x,y)
(0.-4) 0 – (-4) 4
(3,5) 3 – 5 -2
(3,-4) 3 – (-4) 7
Max of 7 @ (3,-4)
![Page 21: 3.4 – Linear Programming. Ex. 1 Graph the system of inequalities. Name the coordinates of the vertices of the feasible region. Find the max & min values.](https://reader036.fdocuments.in/reader036/viewer/2022081603/5697bfae1a28abf838c9c65a/html5/thumbnails/21.jpg)
3.4 – Linear ProgrammingEx. 1 Graph the system of inequalities. Name the
coordinates of the vertices of the feasible region. Find the max & min values of the given function for this region.
y > -4
x < 3
y < 3x – 4
f(x,y) = x – y (x, y) x – y f(x,y)
(0.-4) 0 – (-4) 4
(3,5) 3 – 5 -2
(3,-4) 3 – (-4) 7
Max of 7 @ (3,-4)Min of -2 @ (3,5)