Question

Help!

Answer 1

the start-up cost of a company is $150,000. It costs $.17 to maufacture each headset. graph the function that represents the average cost of a headset. how many must be manufactured to result in a cost of less than $5 per headset?

Answer 2

Your average cost is going to be:

[(startup cost) + (# of units)(price per unit)] / (# of units)

You set that as the left-hand side of an inequality where you have:

(average cost) < 5

Answer 3

i dont get how to do the graph

Answer 4

Your unknown is the (# of units), and you can conveniently set that to "x". When you set up your inequality, just substitute the values from your problem statement.

Answer 5

my equation is 150,000+.17(h)<5h how does that become a graph

Answer 6

If you use the coordinate system, you can use "y" for "average cost" and "x" for the (# of units). It's the graph of that inequality I described.

\[y = \frac{ 150000 + (0.17)(x) }{ x }\]

Answer 7

so how do i come up with coordinates

Answer 8

i really confused

Answer 9

???

Answer 10

You set up "y" and "x" as I described. "y" and "x" are just variables until you give them meaning. I gave them meaning in my posts above by calling "y" average cost and "x" the # of units.

Answer 11

The average cost is the "y" and you use that function. You label the x-axis the # of units, but you can still think in terms of "x" and "y" if you want. But now, "x" and "y" mean something.

Answer 12

Your diagram is basically correct. The "y" is not "cost", it's "average cost", if you use the function I wrote out.

Answer 13

And as far as getting the # of units that will bring the average cost under $5, you simply use the function as an inequality and solve for "x":\[5 > \frac{ 150000 + (0.17)(x) }{ x }\]

Answer 14

Your graph will look like:

Answer 15

You can disregard that little curve to left of x = 0 as that has no physical meaning in this problem since you can't have a negative number of units. You'll notice that the average cost declines sharply for x < 300 and then it levels off almost. I say almost because the average cost is always getting less as "x" gets bigger. And just use that inequality from my last post to get your "x" for average cost to be under $5. The algebra is simple and straight-forward at this point. It's too bad you didn't stick around to discuss this and ask any further questions. I think you would have eventually understood it with a couple of questions. But since you saw fit not to stick around, I will also leave now. I hope you eventually understand this, because it's all here in these posts. All the answers to your questions.