Question

A. draw the correct graph that identifies the feasible region for the following set of constraints.

2 A + 0.5 B ≥ 90
0.75 A + 5 B ≥ 200
0.75 A + 1.5 B ≤ 150
A, B ≥ 0

Answer 1

Explanation:

Assuming A as x axis and B as y axis the equations are

`2x+0.5y\geq 90\quad \left(1\right)\\0.75x+5y\geq 200\quad \left(2\right)\\0.75x+1.5y\leq 150\quad \left(3\right)\\x,y\geq 0\quad \left(4\right)`

Solving equations (2) and (3) we get

x=171.429 y=14.286

Solving equations (1) and (3) we get

x=22.857 y=88.571

Solving equations (1) and (2) we get

x=36.364 y=34.545

The area enclosing the above three points is the feasible region.