x=180/7 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;y=120/7&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; z=216/7

x=120/7 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;y=180/7&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; z=216/7

x=60&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;y=0&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; z=0

x=40&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;y=0&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; z=36

x=0&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; y=0&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;z=108

Engenharia

Usando os multiplicadores de Lagrange, encontre três números não negativos tais que 9x+9y+5z = 540 que maximizem o valor de x3.y2.z2:

Questão

Comentários