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.

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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 – yf(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 – yf(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 – yf(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 – yf(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 – yf(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 – yf(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 – yf(x,y)f(x,y) (0.-4)0 – (-4)4 (3,5)3 – 5-2 (3,-4)3 – (-4)7 Max of (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 – yf(x,y)f(x,y) (0.-4)0 – (-4)4 (3,5)3 – 5-2 (3,-4)3 – (-4)7 Max of (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 – yf(x,y)f(x,y) (0.-4)0 – (-4)4 (3,5)3 – 5-2 (3,-4)3 – (-4)7 Max of (3,-4)Min of (3,5)