Answer:
<h3>A production level that will minimize the average cost of making x items is x=5.</h3>
Step-by-step explanation:
Given that
is the cost of manufacturing x items
<h3>To find a production level that will minimize the average cost of making x items:</h3>
The average cost per item is 
Now we get 
<h3> f(x) is continuously differentiable for all x</h3>
Here x≥0 since it represents the number of items.,
Put x=0 in 
For x=0 the average cost becomes 13000
<h3>∴ f(0)=13000</h3><h3>To find Local extrema :</h3>
Differentiating f(x) with respect to x
<h3>∴ x=5 gives the minimum average cost .</h3><h3>At x=5 the average cost is </h3>
<h3>∴ f(5)=12825 which is smaller than for x=0 is 13000</h3><h3>∴ f(x) is decreasing between 0 and 5 and it is increasing after 5.</h3>
Figure #1
use the smaller part of the figure with the dimensions of 1x2x3 and find the volume of that 1x2x3= 6m
find the area of the bigger part 3x6x3= 54m
54+6= 60m³
Figure #2
smaller part 2x2x7= 28m
bigger part 7x5x3= 105m
105+28= 133ft³
B: 4.75+0.75n ≥25
Because she has already spent 4.75 and she only has $25 and she cannot spend more than$25
I do believe you are right
Answer:
Option A.
Step-by-step explanation:
step 1
we know that
The equation of the solid line is
The solution is the shaded area above the solid line
so
The equation of the first inequality is
step 2
The equation of the dashed line is
The solution is the shaded area above the dashed line
so
The equation of the second inequality is
therefore
The system of inequalities could be
