anonymous
  • anonymous
Matt sells burgers and sandwiches. The daily cost of making burgers is $520 more than the difference between the square of the number of burgers sold and 30 times the number of burgers sold. The daily cost of making sandwiches is modeled by the following equation: C(x) = 2x2 - 40x + 300 C(x) is the cost in dollars of selling x sandwiches. Which statement best compares the minimum daily cost of making burgers and sandwiches
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
It is greater for sandwiches than burgers because the approximate minimum cost is $250 for burgers and $292 for sandwiches. It is greater for sandwiches than burgers because the approximate minimum cost is $100 for burgers and $295 for sandwiches. It is greater for burgers than sandwiches because the approximate minimum cost is $295 for burgers and $100 for sandwiches. It is greater for burgers than sandwiches because the approximate minimum cost is $292 for burgers and $250 for sandwiches
anonymous
  • anonymous
@triciaal HELP ?
triciaal
  • triciaal
I am helping ! this is what I have so far

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triciaal
  • triciaal
|dw:1432963888967:dw|
triciaal
  • triciaal
|dw:1432964031859:dw|
triciaal
  • triciaal
the equation written with the question is for sandwiches when x = 0 then the cost = 300
anonymous
  • anonymous
I Dont understand
anonymous
  • anonymous
@Jack1 help ?
Jack1
  • Jack1
tricalls back, she's doin awesome man, jus be patient
triciaal
  • triciaal
|dw:1432964510506:dw|
triciaal
  • triciaal
sorry, i'm missing something (more than just sleep)
Jack1
  • Jack1
want a hand?
triciaal
  • triciaal
what is the value of x when the costs are equal @Jack1 sure always feel free to join in
anonymous
  • anonymous
So, the answer is: It is greater for burgers than sandwiches because the approximate minimum cost is $292 for burgers and $250 for sandwiches because it is about 1/2 the total when I make x=0 ? @triciaal & @Jack1
Jack1
  • Jack1
not the correct answer
anonymous
  • anonymous
ok
Jack1
  • Jack1
The daily cost (C(z))of making burgers (z) is $520 more than the difference between the square of the number of burgers (z^2) sold and 30 times the number of burgers sold (30z). so as an equation for burgers: C(z) = z^2 - 30z + 520
Jack1
  • Jack1
The daily cost of making sandwiches is: C(x) = 2x^2 - 40x + 300
triciaal
  • triciaal
compare the cost when x = 4?
Jack1
  • Jack1
cost (C) to make sandwiches (x) \(\large C(x) = 2x^2 - 40x + 300\) this equation is a parabola, lowest cost is at lowest point on parabola = turning point turning point is when the gradient = 0 gradient of a parabola is the derivative \(\large C(x) = 2x^2 - 40x + 300\) \(\large C'(x) = 4x - 40 \) so when gradient ( C'(x) ) = 0 \(\large 0 = 4x - 40 \) \(\large 40 = 4x \) \(\large x = 10 \) so lowest cost is when x = 10 (number of sandwiches = 10) what cost (C) is that tho? \(\large C(x) = 2x^2 - 40x + 300\) \(\large C(10) = 2(10)^2 - 40(10) + 300\) \(\large C = u solve this ???\) @zayyyc_
Jack1
  • Jack1
then do the same for burgers (z) then you'll have ur answer ;)
triciaal
  • triciaal
@Jack1 so 10 sandwiches and 4 burgers?
Jack1
  • Jack1
i got 15 burgers for that parabola min point...?
anonymous
  • anonymous
me to @Jack1
triciaal
  • triciaal
for burgers yes 15
Jack1
  • Jack1
cool @zayyyc_ so what did u get as the min cost for sangers, and whats the min cost for burgers?
triciaal
  • triciaal
got it 295
triciaal
  • triciaal
|dw:1432965929266:dw|
Jack1
  • Jack1
yep, me too: $295 for 15 burgers is it's min, and $100 for 10x sandwiches is it's minimum cost... hope this helps?
anonymous
  • anonymous
It is greater for sandwiches than burgers because the approximate minimum cost is $250 for burgers and $292 for sandwiches ?
anonymous
  • anonymous
@Jack1
Jack1
  • Jack1
nah man, sorry we know the min cost for sandwiches is $100 and the min cost for burgers is $295 so the only one that fits is C, yeah? It is greater for burgers than sandwiches because the approximate minimum cost is $295 for burgers and $100 for sandwiches.
Jack1
  • Jack1
you following ok tho or need something explained a bit more? s 'cool if u do hey
anonymous
  • anonymous
i got it thank you
Jack1
  • Jack1
cool, props ;)

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