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regarding question number 10, we have h = f + λg where g is the constraint (the ellipsoid) and f is the function we need to maximize or minimize (the rectangular parallelpiped volume),

now my question : is it right that f is 8xyz ? i mean if we take f to be xyz not 8xyz and solved till we got the value of xyz, the resulting value is a maximized rectangular parallelpiped in the ellipsoid in one octan only, i mean: to get the whole maximized volume we need multiply by 8, is this right ?

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# Lagrange multipliers method?

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