Answer:
Option b (4,1)
Step-by-step explanation:
The region given by the system of inequalities is shown in the graph. We must look within this region for the point that minimizes the objective function 
The minimum points are found in the lower vertices of the region.
These vertices are found by equating the equations of the lines::

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The lower vertices are:
(4, 1) (2, 4)
Now we substitute both points in the objective function to see which of them we get the lowest value of 

Then the value that minimizes f(x, y) is (4,1).
Option b
Here is what your frequency/cumulative frequency table would look like. The cumulative frequency is where you add all the frequencies from before it to get a sum after each interval.
<u> Frequency </u> <u>Cumulative Frequency</u>
0-25 8 8
26-50 0 8
51-75 4 12
76-100 2 14
The front of the base is 1.25 ft and the total base is 14.05 ft.
<h3>How to find the side of a right triangle?</h3>
A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.
The sides CD and BD can be found using similar triangle principle.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, the following proportion can be established as follows;

Hence,

cross multiply
4 × 4 = 12.8 CD
16 = 12.8CD
divide both sides by 12.8
CD = 16 / 12.8
CD = 1.25 ft
BD = 1.25 + 12.8 = 14.05 ft
Therefore, the front of the base is 1.25 ft and the total base is 14.05 ft.
learn more on right triangle here: brainly.com/question/14324872
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Option B is the correct answer