Suppose that farmers grew an unexpectedly large number of tomatoes this year. How would this increase in production affect the p
2 answers:
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Answer:
Step-by-step explanation:
Let the rectangle have (x,y,z) as vertex in positive octant. The rectangular box has to be necessarily symmetrical about all the three axes.
Then the sides of the box would be
Volume =
Maximize volume subject to
i.e.
Use Lagrangian multipliers , we have
at the maximum
Dividing we get
Similarly
Thus we get
Hence dimensions are
(2x,2y,2z)
So dimensions are