A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb
er of machines made. If
x machines are made, then the unit cost is given by the function C(x) -0.4x-112x+17,167. What is the minimum unit cost? I got the answer $140 but apparently it was wrong.
x machines are made, then the unit cost is given by the function C(x) -0.4x-112x+17,167. What is the minimum unit cost? I got the answer $140 but apparently it was wrong.
1 answer:
Answer:
$9327
Step-by-step explanation:
Apparently, the cost function is supposed to be ...
C(x) = 0.4x^2 -112x +17167
This can be rewritten to vertex form as ...
C(x) = 0.4(x^2 -280) +17167
C(x) = 0.4(x -140)^2 +17167 -0.4(19600)
C(x) = 0.4(x -140)^2 +9327
The vertex of the cost function is ...
(x, C(x)) = (140, 9327)
The minimum unit cost is $9327.
_____
<em>Comment on the question</em>
You found the number of units that result in minimum cost (140 units), but you have to evaluate C(140) to find the minimum unit cost.
You might be interested in
Answer:
Option C)
Step-by-step explanation:
We are given the following in the question:
I is the annual income of a person in a country R
2 percent of one’s annual income =
1 percent of one’s annual income =
Average of 100 units of Country R’s currency and 1 percent of one’s annual income.
Income tax =
2 percent of one’s annual income + Average of 100 units of Country R’s currency and 1 percent of one’s annual income.
Thus, income tax is given by
Option C)
Answer:
39 pi cubic inches
Step-by-step explanation:
The volume of a cone is (1/3)(area of the base)(height).
Find the area of the circular base. The circumference of a circle is , so
Now that you know the radius of the circular base, you can find its area:
The height of the cone is 13. Time to use the volume formula.