Question

I WILL FAN AND MEDAL

What point in the feasible region maximezes the objective function?
Contraints: x>=0
y>=o
-x+3>=y
y<=1/3x+1

Objective function: C=5x-4y

Answer 1

Step 1) Graph each inequality on the same xy axis

Step 2) Each of the shaded regions will form the feasible region (it's where all the shaded regions overlap).

Step 3) The corners of the feasible region are then plugged into the objective function C = 5x-4y. Look for the largest output C

Answer 2

it wont let me graph it on the test

Answer 3

I recommend geogebra to graph the inequalities

https://www.geogebra.org/