udohdaniel udohdaniel
  • 01-03-2020
  • Mathematics
contestada

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

Respuesta :

fnyaba
fnyaba fnyaba
  • 01-03-2020

Answer:

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

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