Question: A plane with equation 2 + + 2 = 1 (a, b, c > 0) together with the positive coordinate planes forms a tetrahedron of

A plane with equation 2 + + 2 = 1 (a, b, c > 0) together with the positive coordinate planes forms a tetrahedron of volume V = Labc (as shown in the Figure below) Find the plane that minimizes V if the plane is constrained to pass through a point P = (5, 5, 4) . C= (0, 0, c) . P - . . ......... B = (0, b, 0) A = (a, 0, 0) x The plane X + + Z 10 = 1 30

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