Find the vertices of the figure enclosing the region represented by the following system of inequalities.                                                                                                                          

                   7x + 10y less or equal than 70
                    3x + y less or equal than 18
                    x greater or equal than 0, y greater or equal than 1.

Asked by Topperlearning User | 30th Apr, 2014, 12:38: PM

Expert Answer:

We first draw the graphs of the linear equations 7x + 10y = 70,

3x + y = 18 and y = 1.

 

 

The region which represents the inequality 7x + 10y 70 is containing the origin.

The region which represents the inequality 3x + y  18 is also containing the origin.

The region which represents the inequality y  1 is the region away from origin i.e on the right side of line y = 1 and of course x  0 is the region on the right side of y axis.

 

Hence the common region is given by ABCD and the vertices are A (0, 1), B(0, 7) C, D

 

Answered by  | 30th Apr, 2014, 02:38: PM