question 1
Solve the following linear program using the graphical solution procedure:
Objective function: maximize 5A + 5B
Constraints:
1A <= 100
1 B <= 80
2A + 4B <= 400
A >= 0
B >= 0
Use the desmos/calculator to draw the lines, identify the feasible region, the corner points of the feasible region, and the point that maximizes the objective function, and post a picture of the graph ( scanned image, MS snipping tool screen shot, etc. are all OK as long all information is clearly visible.
question 2
Show a graph of the constraint lines and the solutions that satisfy each of the following constraints:
a) A >= 0.25(A +B)
b) B <= 0.10 (A+B_
c) A <= 0.5(A+B)
i.e. you should have a graph with three (3) lines and for each line indicate whether the feasible region for this line is above or below the line. (use the desmos/calculator and e.g. add a little arrow for each line in the direction of the feasible region for the respective line). Post a picture of the graph.
Sample Solution