To answer equation there is only one solution which is, x=12
Answer:
Step-by-step explanation:
Let the numbers be
Such that:
Make z the subject
For their product to be maximum, we have:
Substitute in
Open bracket
Differentiate w.r.t x and y
Since the products are maximum, then
For
Factorize:
Split
Make y the subject
For
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Substitute y = 0
Factorize
---------------------------------------------------
Substitute
Re-arrange
Factor x out
Divide through by x
Recall that:
Take LCM
Recall that:
Take LCM
Hence, the numbers are:
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