Written as a simplified polynomial in standard form, what is the result when
1 answer:
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Lagrange multipliers:
(if 
)
(if )
(if 
)
In the first octant, we assume
, so we can ignore the caveats above. Now,
so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of
.
We also need to check the boundary of the region, i.e. the intersection of
with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force 
, so the point we found is the only extremum.
In the first octant, we assume
so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of
We also need to check the boundary of the region, i.e. the intersection of
Answer:
The parents who didn't answer with either naughty and nice are <u>6</u>.
Step-by-step explanation:
Given:
150 parents were surveyed. 26% said that the kids were naughty and 70% said their kids were nice.
Now, to find parents who didn't answer with either naughty and nice.
<em>So, as given in question:</em>
<em>70% said that their kids are naughty.</em>
<em>26% said that their kids are nice.</em>
So, to get the percentage of parents who didn't answer we subtract.
<em>Thus, the percentage of parents who didn't answer with either naughty and nice:</em>
100% - (70% + 26%)
100% - 96% = 4%.
Hence, 4% of parents didn't answer.
Now, to get how many parents didn't answer we calculate the percentage of the total who didn't answer:
<em>Total parents surveyed = 150.</em>
<em>Parents who didn't answer = 4% of the total parents surveyed.</em>
Therefore, the parents who didn't answer with either naughty and nice are 6.