1. Graph each system of constraints. 3x+y≤7 x+2y≤9 x≥0,y≥0
2. Name all vertices.
3. Then find the values of x and y that maximize or minimize the objective function.
4. Find the maximum value.

Question

1. Graph each system of constraints. 3x+y≤7 x+2y≤9  x≥0,y≥0
2. Name all vertices. 
3. Then find the values of x and y that maximize or minimize the objective function.
4. Find the maximum value.

anonymous · Answer

$$1.~x \ge 0,y \ge 0 ~\implies~the~graph~lies~\in~first~quadrant.$$
2. draw  lines 3x+y=7,x+2y=9
3. find the points of intersection of these lines
4. find the points of intersection of these lines with x-axis by plugging y=0 and with y-axis by plugging
    x=0
5.put x=0,y=0 in $$3 x+y \le 7 ~and~x+2 y \le 9$$
   and then find the possible region.
6. find~the ~value~at~the~vertices.

anonymous · Answer

Thats right