9514 1404 393
Answer:
$562,500 per hour
Step-by-step explanation:
The cost will be a minimum where C'(x) = 0.
C'(x) = 0.56x -0.7 = 0
x = 0.7/0.56 = 1.25
The cost at that production point is ...
C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625
The minimum production cost is $562,500 per hour for production of 1250 items per hour.
_____
<em>Additional comment</em>
This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.
4 x’s for 1/4
2 x’s for 2/4
1 x for 3/4
2 x’s for 1
Answer:

And solving we have:


And we can write the expression like this:

The vertex for this case would be:

And the minimum for the function would be 3 and there is no maximum value for the function
Step-by-step explanation:
For this case we have the following equation given:

We can complete the square like this:

And solving we have:


And we can write the expression like this:

The vertex for this case would be:

And the minimum for the function would be 3 and there is no maximum value for the function
Answer:
The number is 9.
Step-by-step explanation:
Lets write this as an equation first. We'll substitute the number for the variable <em>x</em>.
80 - 3x = 5x + 8
First, let's add 3x to both sides.
80 - 3x + 3x = 5x + 3x + 8
80 = 8x + 8
Next, let's subtract 8 from both sides.
80 - 8 = 8x + 8 - 8
72 = 8x
Finally, let's divide both sides by 8.
72/8 = 8x/8
9 = x
<em>"x" is 9.</em>
<em>So the secret number is 9.</em>
P.S.
This is my first answer to a Brainly question so please don't complain!
Answer:
The probability distribution for x:"number of children per family for this income group" is:

Step-by-step explanation:
With the information given we have the relative frequencies of each category.
We know:
