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3.4 – Linear Programming. 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 < 3 x – 4 f ( x , y ) = x – y. - PowerPoint PPT Presentation
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3.4 – Linear Programming
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
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
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
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
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
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
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
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
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
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
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
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)
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)
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)
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 – 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
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
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)
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)
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)