Use graphical methods to solve The maximum value is Type an

Use graphical methods to solve. The maximum value is . (Type an integer or a simplified fraction.)

Solution

maximum/minimum values exist at vertices of formed figure

vertices are : (1,9) ; (1,8) ; (27/11 , 40/11) ; (25/8 , 9)

putting these values in z = 7x + 3y

for (1,9)

z = 7+ 3*9 = 34

for (1,8)

z = 7 + 3*8 = 31

for (27/11 , 40/11)

z = 309/11 = 28.09

for (25/8 , 9)

z = 391/8 = 48.875

Maximum value is 48.875