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>
Answer:
occurred during the same period of time
Step-by-step explanation:
Answer: What exactly are you asking??
Step-by-step explanation:
If you're using the app, try seeing this answer through your browser: brainly.com/question/2862279_______________
Simplify the trigonometric expression.
Call the expression E:


So basically E is equivalent to

where the sign depends on which quadrant

lies. Shortly,

I hope this helps. =)
Tags: <em>simplify trigonometric trig expression sine cosine tangent sin cos tan absolute value modulus trigonometry</em>
R = red beads
G = green beads
B = blue beads
Given:
R/2 = G/3 = B/7
B = R + 150
How many reds?
R/2 = (R+150)/7
7*R/2 = R + 150
7*R = 2*R + 300
5*R = 300
R = 60
How many blue?
B = R + 150
B = 210
How many green?
G/3 = R/2
G/3 = 60/2
G/3 = 30
G = 90
How many total?
Total = R+G+B
Total = 60+90+210
Total = 360