Solve LPP by Graphical Solution Procedure, Sample Assignments

1. Work out or solve 3x + 5y < 15 graphically

 Answer

Write the known constraint in the form of equation, that is 3x + 5y = 15

Put x=0, then value of y=3

Put y=0, then value of x=5

Thus, the coordinates are (0, 3) and (5, 0). Hence these points are joined to get a straight line as present in the graph.

Place x=0, y=0 in the given constraint then

0<15, the condition is true. (0, 0) is solution closer to origin. Thus shade the region below that line, which is referred to the feasible region.

 

1588_Graphical_Solution_Procedure.png

 

2. Work out or Solve 3x + 5y >15

 

Solution

Write the given constraint in the form of equation, that is 3x + 5y = 15

Place x=0, then y=3

Place y=0, then x=5

Now the coordinates are (0, 3) and (5, 0)

Place x =0, y =0 in the known constraint, the condition becomes false i.e. 0 > 15 is false.

Consequently the region does not have (0, 0) as solution. The feasible region stays on the exterior part of the line as presented in the graph.

 

323_Graphical Solution Procedure.png

 

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