3.4 – Linear Programming.

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3.4 Linear Programming.

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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 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 (x, y) x – y f(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 (x, y) x – y f(x,y) (0.-4) (3,5) (3,-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 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 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 (x, y) x – y f(x,y) (0.-4) 0 – (-4) 4 (3,5) 3 – 5 -2 (3,-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 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 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 (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 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 (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 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 (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 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 (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)