Suppose the function $f(x,y,z)=xyz$ is defined for $x+y+z=7$, $x,y,z \ge 0$. What is the range of $f$?
Question:
Suppose the function $f(x,y,z)=xyz$ is defined for $x+y+z=7$, $x,y,z \ge 0$. What is the range of $f$?
Answer:
Let's think step by step.

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\left[0,\frac{343}{27}\right]
Suppose the function $f(x,y,z)=xyz$ is defined for $x+y+z=7$, $x,y,z \ge 0$. What is the range of $f$?
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