Question

use linear programming:
a student advisory board at your achool must consist of 7 to 10 representatives from junior and senior classes. The board must include at least 3 juniors and 3 seniors. Graph the feasible region and solve for the numbers of juniors and seniors on the board.

Answer 1

so the variables are J and S which are the number of juniors and seniors on the board
total must be between 7 and 10 --> 7 <= J+S <=10
at least 3 juniors --> J >= 3
at least 3 seniors --> S >= 3

Now graph these restraints:
J >= 7 - S
J <= 10 -S
J >= 3
S >= 3

Answer 2

how did you get:
J >= 7 - S
J <= 10 -S..?

Answer 3

oh sorry ...from the inequality 7 <= J+S <= 10
i split it into 2 inequalities and then solved for J , that way you can graph the 2 lines