Answer:
A: for 500: 66; for 60: 68.9; for 100: 66
B: no
Step-by-step explanation:
We assume your average cost function is ...
A. The overline over the C indicates it is an average value.
Evaluating the cost function at the different production levels, we find the average cost per unit to be ...
<u>500 units</u>
c = ((0.01·500)+60)500 +500)/500 = 65 +1 = 66
<u>60 units</u>
c = ((0.01·60 +60)·60 +500)/60 = 60.6 +500/60 ≈ 68.93
<u>100 units</u>
c = ((0.01·100 +60)·100 +500)/100 = 61 +5 = 66
__
B. Dividing out the fraction, we find that the cost per unit is ...
0.01x +60 +500/x
As x gets large, this approaches the linear function c = 0.01x +60. This <em>increases</em> as the number of units produced rises. (The minimum average cost is at a production level of about 224 units.)
Set up the equation 88+7.25h=169. Now that we have the equation and the only variable to solve is h, we will begin the algebra.
1. Using the Subtraction Property of Equality, subtract 88 from both sides to get the equation 7.25h = 81
2. Now use the Division Property of Equality to divide both sides of the equation by 7.25. You should then get h = 11.1724...
Now assuming he is getting paid by the hour, the number of hours he needs to work to get the skateboard is 12.
Answer:
<h2><u><em>
$1.75</em></u></h2>
Step-by-step explanation:
if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75
2m = 200 cm
200 : 10 = 35 : x
x = 10 * 35 : 200
x = 1.75
Answer:
The x-intercept of the line is 4 minutes.
That 4 minutes gives the time when Shari will reach her home.
Step-by-step explanation:
The line 6x - 3y = 24......... (1), represents Shari's distance from home, y in blocks, on her run across town over time, x, in minutes.
So, at y = 0, from the above equation (1), we get 6x - 0 = 24, ⇒ x = 4.
Therefore, the x-intercept of the line (1) is 4 minutes.
That 4 minutes gives the time when Shari will reach her home and the distance between her and her home is zero blocks. (Answer)
