anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • 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
  • amistre64
dhats got a good start for us...
amistre64
  • 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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amistre64
  • amistre64
640 = 96a +8b -608 = -96a -16b ------------------ 32 = -8b b = -4
anonymous
  • anonymous
i got a = 7
amistre64
  • amistre64
a = 76-2b//12 a = 84/12 = 7 good job....now lets hope its right :)
amistre64
  • amistre64
30 = 4(7)+2(-4)+c
anonymous
  • 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
  • amistre64
30 = 28 -8 +c 30 = 20 + c 10 = c 7x^2 -4x +10 = y should work, lets check ourselves
amistre64
  • amistre64
economy of scale :)
anonymous
  • anonymous
Economy of scale... in reverse, though, more like :/
amistre64
  • 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
  • amistre64
7(5)^2 -4(5) +10 = y 7(25) -20 +10 = y 175 -10 = 165 should be our answer...
amistre64
  • amistre64
yeah....in reverse :)
anonymous
  • 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
  • amistre64
lol....youre welcome, but I think ill just stick to openstudy stuff ;)
amistre64
  • amistre64
maybe widgets are one of those products that consumes more than its worth....like tribbles :)
anonymous
  • anonymous
¬_¬
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
  • amistre64
i never trust a machine to do a "man"s job. unless its a slide rule :)
anonymous
  • anonymous
Why the quotation marks around man?
amistre64
  • amistre64
trying to preserve my anonymity lol
anonymous
  • anonymous
:(
amistre64
  • amistre64
i try to remain androgenous online ;)
anonymous
  • 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
  • anonymous
Hmm, but which are you ¬_¬
anonymous
  • anonymous
You are 76?
anonymous
  • anonymous
yes.
anonymous
  • anonymous
But you can integrate x^2, right?
amistre64
  • 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
  • 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
  • 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
  • amistre64
i just make up my own rules half the time, and guess at the the rest :)
anonymous
  • anonymous
Got to go now. Thanks for the exchange.

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