last question!!! (:
the company discovered that it costs $30 to produce 2 widgets, $106 to produce 4 widgets, and $670 to produce 10 widgets. Using the quadratic function, find the cost of producing 5 widgets.

- anonymous

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- anonymous

cost = ax^2+bx+c
30 = 4a+2b+c
106 = 16a +4b +c
670 = 100a +10b +c
solve the equations to get a,b,c

- amistre64

dhats got a good start for us...

- amistre64

-30 = - 4a -2b -c -30 = -4a -2b -c
106 = 16a +4b +c 670 = 100a +10b +c
----------------------------------------------
76 = 12a +2b 640 = 96a +8b

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## More answers

- amistre64

640 = 96a +8b
-608 = -96a -16b
------------------
32 = -8b
b = -4

- anonymous

i got a = 7

- amistre64

a = 76-2b//12
a = 84/12 = 7
good job....now lets hope its right :)

- amistre64

30 = 4(7)+2(-4)+c

- anonymous

One thing I don't get about these questions is why buying more in total increases the cost per thing? As far as I recall, all have been like this ... :(

- amistre64

30 = 28 -8 +c
30 = 20 + c
10 = c
7x^2 -4x +10 = y should work, lets check ourselves

- amistre64

economy of scale :)

- anonymous

Economy of scale... in reverse, though, more like :/

- amistre64

2,30 4,106 10,670
700 -40 +10 = 700 - 30 = 670..checks
7(16) -4(4) + 10 = 112-16+10 = 112 - 6 = 106 checks
28 -8 + 10 = 28+2 = 30 its good

- amistre64

7(5)^2 -4(5) +10 = y
7(25) -20 +10 = y
175 -10 = 165 should be our answer...

- amistre64

yeah....in reverse :)

- anonymous

THANK YOU SO MUCH!!!
do you have an email i could get ahold of you on? just in case i need help in other stuff.

- amistre64

lol....youre welcome, but I think ill just stick to openstudy stuff ;)

- amistre64

maybe widgets are one of those products that consumes more than its worth....like tribbles :)

- anonymous

¬_¬

- anonymous

A Mathematica approach:
let data = {{2, 30}, {4, 106}, {10, 670}}
Fit[ data, {1, x, x^2}, x] /. x -> 5 yeilds 10. - 4. x + 7. x^2 =165 at x=5
The Fit function is a curve fitter.

- amistre64

i never trust a machine to do a "man"s job. unless its a slide rule :)

- anonymous

Why the quotation marks around man?

- amistre64

trying to preserve my anonymity lol

- anonymous

:(

- amistre64

i try to remain androgenous online ;)

- anonymous

As a 76 year old person who could not integrate x^2 with pencil and paper I am very impressed with amistre64 solving this thing in real time.

- anonymous

Hmm, but which are you ¬_¬

- anonymous

You are 76?

- anonymous

yes.

- anonymous

But you can integrate x^2, right?

- amistre64

if i had done this with pencil and paper i would have been done long time ago.... but trying to remember which keys to press is a challange

- anonymous

I graduated in the lower 1/3 of my class at San Jose State College as a Math major.
I cannot remember all of the rules. Rather I'm using software developed by a group of World class mathematicians and computer programmers.
Using Mathematic 8. The installation "file" is about 3Gb in size.
By the way, Wolfram practically gives their system to students and acedemics.

- anonymous

Hmm, intriguing.
I personally find it easier to learn the rules than to learn what format to type things into Wolfram|Alpha (though maybe Mathematica is slightly easier to use). Can of course be useful at times, though.

- amistre64

i just make up my own rules half the time, and guess at the the rest :)

- anonymous

Got to go now. Thanks for the exchange.

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