crystalstargala
07.04.2020 •
Mathematics
A new food is designed to add weight to mature beef cattle. The weight in pounds is given by W = 13xy(20 − x − 2y), where x is the number of units of the first ingredient and y is the number of units of the second ingredient. How many units of each ingredient will maximize the weight?
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Ответ:
units and units is required to maximize the weight.
Step-by-step explanation:
Given weight function is,
where x and y are number of units of first and second ingredients respectively.
To find how many units of each ingredient will maximize the weight we have to find the maximum value of weight function.
First we have to find the critical points, differentiate partially (1) with respect to x and make it eual to zero we get,Either, y=0 or,
And, differentiate partially (1) with respect to y and make it equal to zero we get,
Either, x=0 or,
Solving (2) and (3) we will get, .
Hence critical points of (1) are (0,0) and
Now to find maxima we have to verify both points.Consider,
So that,
At (0,0),
that is (0,0) is a local minima.
At
Which imply is local maxima of (1).
Therefore unit and unit is required to maximize the weight.
Ответ:
It's d no. 5/ x - 2 is the answer of your question