Question

HELP PLEASE!!!!



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?

Answer 1

A)It is greater for sandwiches than burgers because the approximate minimum cost is $250 for burgers and $292 for sandwiches.
B)It is greater for sandwiches than burgers because the approximate minimum cost is $100 for burgers and $295 for sandwiches.
C)It is greater for burgers than sandwiches because the approximate minimum cost is $295 for burgers and $100 for sandwiches.
D)It is greater for burgers than sandwiches because the approximate minimum cost is $292 for burgers and $250 for sandwiches.

Answer 2

@experimentX @ganeshie8 @Warriorz13

Answer 3

sorry mate not good with math

Answer 4

first take this sentence and make an equation from it

C(B) = cost of burgers =......
.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

Answer 5

ok c(b) = x^2 + 30 + 520?

Answer 6

30x*

Answer 7

Nearly there
it says 'difference between' (that means subtract)

Answer 8

C(d) = x^2 - 30x + 520?

Answer 9

That's correct

Now - do you know how to find the minimum value of an equation like that?

Answer 10

graph it?

Answer 11

the 'proper way' involves differentiation - do you know how to do that?

If so - write down the first derivative of the above equation

Answer 12

No i dont know how to do that?

Answer 13

By the way i say it is C.

Answer 14

what is the current subject you are studying? maxima and minima normally involve 'differential calculus'

Have you been shown another way to find maxima and minima?

Answer 15

No i dont know any other ways im in algebra 1 and graphing is the only way i know how.

Answer 16

By the way - if you want to guess then do not expect me to confirm or otherwise whether your guess is correct

Answer 17

Oh no that is what i have down now on my sheet.

Answer 18

OK - so use graphing to find the minimum value of the two equations you have in the question

Answer 19

From the graph you can find the minimum cost for sandwiches , and for burgers - then answer the question.