Question

14. 3x 2y150, x + 4y < 80, xs 15, y20, x20

Answer 1

The inequalities are,

3x+2y≤150, x+4y≤80, x≤15

For the inequality,

3x+2y≤150(1)

Put the value x=0 in equation (1)

3( 0 )+2y=150 y=75

Put the value y=0 in equation (1)

3x+2( 0 )=150 x=50

For the inequality,

x+4y≤80(2)

Put the value x=0 in equation (2)

0+4y=80 y=20

Put the value y=0 in equation (2)

x+4( 0 )=80 x=80

For the inequality,

x≤15(3)

Represents the region on the left hand side of the lien x=15.

From all the three inequalities the graph is shown as,

Thus, in the graph the dark blue color represent the graph of the system of the all three inequalities.