SOLUTION: Two numbers are related by the equation 3x+ 2y = 42. Find the values of the numbers so that their product is a minmum

Question 964813: Two numbers are related by the equation 3x+ 2y = 42. Find the values of the numbers so that their product is a minmum
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Find the minimum value of Z where Z is defined as,

.
.
From the equation,

Substituting,

Convert Z to vertex form, then you can find the extremum.

The value at the vertex is a maximum because of the multiplier.
It occurs when and the maximum value is .
There is no minimum for the product, only a maximum.
Check your problem setup and repost if needed.

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