Minimize ≥ = 3x+4y subject to the following constraints x+y≤8, x≥2, y≥2

Minimum=6

Step-by-step explanation:

A plot of the three constraints show that the solution lies on the boundaries on the trapezium formed by coordinates (2,2), (2,6), (2,0) and (8,0) found by plotting the three lines on the Cartesian plane.

The minimum thus occurs at (2,0) with x=2 and y=0.

Substituting x=2, and y=0 into the function 3x+4y gives the answer as 6